10022010210120 has 128 divisors (see below), whose sum is σ = 31947112333440. Its totient is φ = 2506439823360.

The previous prime is 10022010210089. The next prime is 10022010210127. The reversal of 10022010210120 is 2101201022001.

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 = 10022010210096 and 10022010210105.

It is not an unprimeable number, because it can be changed into a prime (10022010210127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8102451 + ... + 9257090.

It is an arithmetic number, because the mean of its divisors is an integer number (249586815105).

Almost surely, 2^{10022010210120} is an apocalyptic number.

10022010210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022010210120 is an abundant number, since it is smaller than the sum of its proper divisors (21925102123320).

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

10022010210120 is a wasteful number, since it uses less digits than its factorization.

10022010210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17359855 (or 17359851 counting only the distinct ones).

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

Adding to 10022010210120 its reverse (2101201022001), we get a palindrome (12123211232121).

The spelling of 10022010210120 in words is "ten trillion, twenty-two billion, ten million, two hundred ten thousand, one hundred twenty".