10022102010120 has 128 divisors (see below), whose sum is σ = 31936623287040. Its totient is φ = 2507314667520.

The previous prime is 10022102010071. The next prime is 10022102010121. The reversal of 10022102010120 is 2101020122001.

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 = 10022102010096 and 10022102010105.

It is not an unprimeable number, because it can be changed into a prime (10022102010121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7209396 + ... + 8486435.

It is an arithmetic number, because the mean of its divisors is an integer number (249504869430).

Almost surely, 2^{10022102010120} is an apocalyptic number.

10022102010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022102010120 is an abundant number, since it is smaller than the sum of its proper divisors (21914521276920).

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

10022102010120 is a wasteful number, since it uses less digits than its factorization.

10022102010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15696175 (or 15696171 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022102010120 its reverse (2101020122001), we get a palindrome (12123122132121).

The spelling of 10022102010120 in words is "ten trillion, twenty-two billion, one hundred two million, ten thousand, one hundred twenty".