10102222120120 has 64 divisors (see below), whose sum is σ = 24552414764640. Its totient is φ = 3718782144000.

The previous prime is 10102222120091. The next prime is 10102222120157. The reversal of 10102222120120 is 2102122220101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10102222120094 and 10102222120103.

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 15 ways as a sum of consecutive naturals, for example, 29174331 + ... + 29518570.

Almost surely, 2^{10102222120120} is an apocalyptic number.

10102222120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102222120120 is an abundant number, since it is smaller than the sum of its proper divisors (14450192644520).

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

10102222120120 is a wasteful number, since it uses less digits than its factorization.

10102222120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58693256 (or 58693252 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10102222120120 its reverse (2102122220101), we get a palindrome (12204344340221).

The spelling of 10102222120120 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty".