10122213012120 has 192 divisors, whose sum is σ = 36320231001600. Its totient is φ = 2424305045760.

The previous prime is 10122213012071. The next prime is 10122213012143. The reversal of 10122213012120 is 2121031222101.

10122213012120 is a `hidden beast` number, since 10 + 12 + 221 + 301 + 2 + 120 = 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 = 10122213012093 and 10122213012102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15069600 + ... + 15726959.

It is an arithmetic number, because the mean of its divisors is an integer number (189167869800).

Almost surely, 2^{10122213012120} is an apocalyptic number.

10122213012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122213012120 is an abundant number, since it is smaller than the sum of its proper divisors (26198017989480).

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

10122213012120 is a wasteful number, since it uses less digits than its factorization.

10122213012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30796670 (or 30796663 counting only the distinct ones).

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

Adding to 10122213012120 its reverse (2121031222101), we get a palindrome (12243244234221).

The spelling of 10122213012120 in words is "ten trillion, one hundred twenty-two billion, two hundred thirteen million, twelve thousand, one hundred twenty".