10121101222120 has 64 divisors (see below), whose sum is σ = 26119644612480. Its totient is φ = 3457564413696.

The previous prime is 10121101222079. The next prime is 10121101222147. The reversal of 10121101222120 is 2122210112101.

It is a junction number, because it is equal to n+sod(n) for n = 10121101222094 and 10121101222103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65169354 + ... + 65324473.

It is an arithmetic number, because the mean of its divisors is an integer number (408119447070).

Almost surely, 2^{10121101222120} is an apocalyptic number.

10121101222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121101222120 is an abundant number, since it is smaller than the sum of its proper divisors (15998543390360).

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

10121101222120 is a wasteful number, since it uses less digits than its factorization.

10121101222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130494122 (or 130494118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10121101222120 its reverse (2122210112101), we get a palindrome (12243311334221).

The spelling of 10121101222120 in words is "ten trillion, one hundred twenty-one billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty".