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101022011111020 = 22553223518982361
BaseRepresentation
bin10110111110000100000101…
…000101100011011001101100
3111020200121110122112020200211
4112332010011011203121230
5101220121034321023040
6554504512103432204
730164412416224516
oct2676040505433154
9436617418466624
10101022011111020
112a2092156a760a
12b3b68ab155664
13444a447653c1c
141ad36c468cbb6
15ba2c3360b8ea
hex5be10516366c

101022011111020 has 96 divisors (see below), whose sum is σ = 217162738920960. Its totient is φ = 39460502415360.

The previous prime is 101022011111017. The next prime is 101022011111023. The reversal of 101022011111020 is 20111110220101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101022011111017) and next prime (101022011111023).

It is not an unprimeable number, because it can be changed into a prime (101022011111023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226534640 + ... + 1226617000.

It is an arithmetic number, because the mean of its divisors is an integer number (2262111863760).

Almost surely, 2101022011111020 is an apocalyptic number.

101022011111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022011111020 is an abundant number, since it is smaller than the sum of its proper divisors (116140727809940).

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

101022011111020 is a wasteful number, since it uses less digits than its factorization.

101022011111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87835 (or 87833 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101022011111020 its reverse (20111110220101), we get a palindrome (121133121331121).

The spelling of 101022011111020 in words is "one hundred one trillion, twenty-two billion, eleven million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 223 265 446 530 892 1060 1115 2230 4460 5189 10378 11819 20756 23638 25945 47276 51890 59095 82361 103780 118190 164722 236380 275017 329444 411805 550034 823610 1100068 1157147 1375085 1647220 2314294 2750170 4365133 4628588 5500340 5785735 8730266 11571470 17460532 18366503 21825665 23142940 36733006 43651330 61328791 73466012 87302660 91832515 122657582 183665030 245315164 306643955 367330060 427371229 613287910 854742458 973424659 1226575820 1709484916 1946849318 2136856145 3893698636 4273712290 4867123295 8547424580 9734246590 19468493180 22650675137 45301350274 90602700548 95303784067 113253375685 190607568134 226506751370 381215136268 453013502740 476518920335 953037840670 1906075681340 5051100555551 10102201111102 20204402222204 25255502777755 50511005555510 101022011111020