10121022002120 has 64 divisors (see below), whose sum is σ = 22916497415040. Its totient is φ = 4022834457600.

The previous prime is 10121022002111. The next prime is 10121022002129. The reversal of 10121022002120 is 2120022012101.

It is an interprime number because it is at equal distance from previous prime (10121022002111) and next prime (10121022002129).

It is a junction number, because it is equal to n+sod(n) for n = 10121022002095 and 10121022002104.

It is not an unprimeable number, because it can be changed into a prime (10121022002129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4375424 + ... + 6275856.

It is an arithmetic number, because the mean of its divisors is an integer number (358070272110).

Almost surely, 2^{10121022002120} is an apocalyptic number.

10121022002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121022002120 is an abundant number, since it is smaller than the sum of its proper divisors (12795475412920).

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

10121022002120 is a wasteful number, since it uses less digits than its factorization.

10121022002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901286 (or 1901282 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10121022002120 its reverse (2120022012101), we get a palindrome (12241044014221).

The spelling of 10121022002120 in words is "ten trillion, one hundred twenty-one billion, twenty-two million, two thousand, one hundred twenty".