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101001120200022 = 237371171275320161
BaseRepresentation
bin10110111101110000100111…
…111001000011010101010110
3111020121121112201121000022110
4112331300213321003111112
5101214300243232400042
6554451135111011450
730163042625345460
oct2675604771032526
9436547481530273
10101001120200022
112a200375293a09
12b3b283a969b86
134448498515923
141ad26a1d35130
15ba240e55c09c
hex5bdc27e43556

101001120200022 has 128 divisors (see below), whose sum is σ = 237399602623488. Its totient is φ = 28041972940800.

The previous prime is 101001120200009. The next prime is 101001120200047. The reversal of 101001120200022 is 220002021100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001120199980 and 101001120200007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5009717622 + ... + 5009737782.

It is an arithmetic number, because the mean of its divisors is an integer number (1854684395496).

Almost surely, 2101001120200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001120200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118699801311744).

101001120200022 is an abundant number, since it is smaller than the sum of its proper divisors (136398482423466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101001120200022 is a wasteful number, since it uses less digits than its factorization.

101001120200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24134.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101001120200022 its reverse (220002021100101), we get a palindrome (321003141300123).

The spelling of 101001120200022 in words is "one hundred one trillion, one billion, one hundred twenty million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1171 1554 2342 2753 3513 5506 7026 8197 8259 16394 16518 19271 20161 24591 38542 40322 43327 49182 57813 60483 86654 101861 115626 120966 129981 141127 203722 259962 282254 303289 305583 423381 606578 611166 713027 745957 846762 909867 1426054 1491914 1819734 2139081 2237871 3223763 4278162 4475742 5221699 6447526 9671289 10443398 15665097 19342578 22566341 23608531 31330194 45132682 47217062 55503233 67699023 70825593 111006466 119279231 135398046 141651186 165259717 166509699 238558462 330519434 333019398 357837693 388522631 495779151 715675386 777045262 834954617 873515647 991558302 1165567893 1669909234 1747031294 2053619621 2331135786 2504863851 2620546941 4107239242 5009727702 5241093882 6114609529 6160858863 12229219058 12321717726 14375337347 18343828587 28750674694 36687657174 43126012041 64994285843 86252024082 129988571686 194982857529 389965715058 454960000901 909920001802 1364880002703 2404788576191 2729760005406 4809577152382 7214365728573 14428731457146 16833520033337 33667040066674 50500560100011 101001120200022