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101002221001110 = 2351113101233105359
BaseRepresentation
bin10110111101110001101001…
…100000010001100110010110
3111020121201101102221111112010
4112331301221200101212112
5101214310022034013420
6554451440233005050
730163112123116212
oct2675615140214626
9436551342844463
10101002221001110
112a20088a6a6080
12b3b2aa7553786
1344486125b7110
141ad2768201942
15ba24760004e0
hex5bdc69811996

101002221001110 has 128 divisors (see below), whose sum is σ = 287603528325120. Its totient is φ = 22378114368000.

The previous prime is 101002221001081. The next prime is 101002221001141. The reversal of 101002221001110 is 11100122200101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116119390 + ... + 116985969.

It is an arithmetic number, because the mean of its divisors is an integer number (2246902565040).

Almost surely, 2101002221001110 is an apocalyptic number.

101002221001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002221001110 is an abundant number, since it is smaller than the sum of its proper divisors (186601307324010).

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

101002221001110 is a wasteful number, since it uses less digits than its factorization.

101002221001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233105494.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101002221001110 its reverse (11100122200101), we get a palindrome (112102343201211).

The spelling of 101002221001110 in words is "one hundred one trillion, two billion, two hundred twenty-one million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 101 110 130 143 165 195 202 286 303 330 390 429 505 606 715 858 1010 1111 1313 1430 1515 2145 2222 2626 3030 3333 3939 4290 5555 6565 6666 7878 11110 13130 14443 16665 19695 28886 33330 39390 43329 72215 86658 144430 216645 433290 233105359 466210718 699316077 1165526795 1398632154 2331053590 2564158949 3030369667 3496580385 5128317898 6060739334 6993160770 7692476847 9091109001 12820794745 15151848335 15384953694 18182218002 23543641259 25641589490 30303696670 33334066337 38462384235 45455545005 47087282518 66668132674 70630923777 76924768470 90911090010 100002199011 117718206295 141261847554 166670331685 200004398022 235436412590 258980053849 306067336367 333340663370 353154618885 500010995055 517960107698 612134672734 706309237770 776940161547 918202009101 1000021990110 1294900269245 1530336681835 1553880323094 1836404018202 2589800538490 3060673363670 3366740700037 3884700807735 4591010045505 6733481400074 7769401615470 9182020091010 10100222100111 16833703500185 20200444200222 33667407000370 50501110500555 101002221001110