102010111022120 has 32 divisors (see below), whose sum is σ = 262311714057600. Its totient is φ = 34974895207488.

The previous prime is 102010111022107. The next prime is 102010111022137. The reversal of 102010111022120 is 21220111010201.

It is a super-2 number, since 2×102010111022120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102010111022095 and 102010111022104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182160912260 + ... + 182160912819.

It is an arithmetic number, because the mean of its divisors is an integer number (8197241064300).

Almost surely, 2^{102010111022120} is an apocalyptic number.

102010111022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010111022120 is an abundant number, since it is smaller than the sum of its proper divisors (160301603035480).

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

102010111022120 is a wasteful number, since it uses less digits than its factorization.

102010111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364321825097 (or 364321825093 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102010111022120 its reverse (21220111010201), we get a palindrome (123230222032321).

The spelling of 102010111022120 in words is "one hundred two trillion, ten billion, one hundred eleven million, twenty-two thousand, one hundred twenty".