10011210222120 has 32 divisors (see below), whose sum is σ = 30033630666720. Its totient is φ = 2669656059200.

The previous prime is 10011210222113. The next prime is 10011210222131. The reversal of 10011210222120 is 2122201211001.

It is a super-2 number, since 2×10011210222120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10011210222120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41713375806 + ... + 41713376045.

It is an arithmetic number, because the mean of its divisors is an integer number (938550958335).

Almost surely, 2^{10011210222120} is an apocalyptic number.

10011210222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011210222120 is an abundant number, since it is smaller than the sum of its proper divisors (20022420444600).

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

10011210222120 is a wasteful number, since it uses less digits than its factorization.

10011210222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83426751865 (or 83426751861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10011210222120 its reverse (2122201211001), we get a palindrome (12133411433121).

The spelling of 10011210222120 in words is "ten trillion, eleven billion, two hundred ten million, two hundred twenty-two thousand, one hundred twenty".