10121012001200 has 60 divisors (see below), whose sum is σ = 24336217505160. Its totient is φ = 4044993991680.

The previous prime is 10121012001119. The next prime is 10121012001253. The reversal of 10121012001200 is 210021012101.

10121012001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10183385 + ... + 11132984.

It is an arithmetic number, because the mean of its divisors is an integer number (405603625086).

Almost surely, 2^{10121012001200} is an apocalyptic number.

10121012001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121012001200 is an abundant number, since it is smaller than the sum of its proper divisors (14215205503960).

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

10121012001200 is a wasteful number, since it uses less digits than its factorization.

10121012001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21317574 (or 21317563 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10121012001200 its reverse (210021012101), we get a palindrome (10331033013301).

The spelling of 10121012001200 in words is "ten trillion, one hundred twenty-one billion, twelve million, one thousand, two hundred".