10121022120 has 128 divisors (see below), whose sum is σ = 34563594240. Its totient is φ = 2346896640.

The previous prime is 10121022059. The next prime is 10121022137. The reversal of 10121022120 is 2122012101.

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 = 10121022096 and 10121022105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136324 + ... + 197043.

It is an arithmetic number, because the mean of its divisors is an integer number (270028080).

Almost surely, 2^10121022120 is an apocalyptic number.

10121022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121022120 is an abundant number, since it is smaller than the sum of its proper divisors (24442572120).

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

10121022120 is a wasteful number, since it uses less digits than its factorization.

10121022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333415 (or 333411 counting only the distinct ones).

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

Adding to 10121022120 its reverse (2122012101), we get a palindrome (12243034221).

The spelling of 10121022120 in words is "ten billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty".