10012001202120 has 128 divisors (see below), whose sum is σ = 30061448087040. Its totient is φ = 2667606359040.

The previous prime is 10012001202113. The next prime is 10012001202149. The reversal of 10012001202120 is 2120210021001.

10012001202120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 10012001202096 and 10012001202105.

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, 842258817 + ... + 842270703.

It is an arithmetic number, because the mean of its divisors is an integer number (234855063180).

Almost surely, 2^{10012001202120} is an apocalyptic number.

10012001202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012001202120 is an abundant number, since it is smaller than the sum of its proper divisors (20049446884920).

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

10012001202120 is a wasteful number, since it uses less digits than its factorization.

10012001202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17255 (or 17251 counting only the distinct ones).

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

Adding to 10012001202120 its reverse (2120210021001), we get a palindrome (12132211223121).

The spelling of 10012001202120 in words is "ten trillion, twelve billion, one million, two hundred two thousand, one hundred twenty".