101102321122020 has 144 divisors (see below), whose sum is σ = 315645890327040. Its totient is φ = 26175296302848.

The previous prime is 101102321122013. The next prime is 101102321122073. The reversal of 101102321122020 is 20221123201101.

101102321122020 is a `hidden beast` number, since 1 + 0 + 1 + 102 + 321 + 1 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101102321121984 and 101102321122002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13310080 + ... + 19477239.

Almost surely, 2^{101102321122020} is an apocalyptic number.

101102321122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102321122020 is an abundant number, since it is smaller than the sum of its proper divisors (214543569205020).

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

101102321122020 is a wasteful number, since it uses less digits than its factorization.

101102321122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32787834 (or 32787829 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101102321122020 its reverse (20221123201101), we get a palindrome (121323444323121).

The spelling of 101102321122020 in words is "one hundred one trillion, one hundred two billion, three hundred twenty-one million, one hundred twenty-two thousand, twenty".