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101022111100020 = 2235113136479135353
BaseRepresentation
bin10110111110000100001011…
…000010111110110001110100
3111020200121201121200012211010
4112332010023002332301310
5101220121240420200040
6554504530034512220
730164415042142605
oct2676041302766164
9436617647605733
10101022111100020
112a209267090850
12b3b6918735670
13444a462292706
141ad36d3a79dac
15ba2c3c2ace80
hex5be10b0bec74

101022111100020 has 192 divisors, whose sum is σ = 318541800407040. Its totient is φ = 23699377228800.

The previous prime is 101022111100013. The next prime is 101022111100021. The reversal of 101022111100020 is 20001111220101.

It is a super-2 number, since 2×1010221111000202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101022111099969 and 101022111100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022111100021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746292664 + ... + 746428016.

It is an arithmetic number, because the mean of its divisors is an integer number (1659071877120).

Almost surely, 2101022111100020 is an apocalyptic number.

101022111100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022111100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159270900203520).

101022111100020 is an abundant number, since it is smaller than the sum of its proper divisors (217519689307020).

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

101022111100020 is a wasteful number, since it uses less digits than its factorization.

101022111100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171886 (or 171884 counting only the distinct ones).

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

Adding to 101022111100020 its reverse (20001111220101), we get a palindrome (121023222320121).

The spelling of 101022111100020 in words is "one hundred one trillion, twenty-two billion, one hundred eleven million, one hundred thousand, twenty".