10212102012120 has 128 divisors (see below), whose sum is σ = 31590427680000. Its totient is φ = 2639654511104.

The previous prime is 10212102012103. The next prime is 10212102012127. The reversal of 10212102012120 is 2121020121201.

10212102012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10212102012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212102012127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9144870 + ... + 10200629.

It is an arithmetic number, because the mean of its divisors is an integer number (246800216250).

Almost surely, 2^{10212102012120} is an apocalyptic number.

10212102012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212102012120 is an abundant number, since it is smaller than the sum of its proper divisors (21378325667880).

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

10212102012120 is a wasteful number, since it uses less digits than its factorization.

10212102012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19345649 (or 19345645 counting only the distinct ones).

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

Adding to 10212102012120 its reverse (2121020121201), we get a palindrome (12333122133321).

The spelling of 10212102012120 in words is "ten trillion, two hundred twelve billion, one hundred two million, twelve thousand, one hundred twenty".