2121101122400 has 72 divisors (see below), whose sum is σ = 5576456458944. Its totient is φ = 783175795200.

The previous prime is 2121101122391. The next prime is 2121101122417. The reversal of 2121101122400 is 42211011212.

It is a congruent number.

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, 101965616 + ... + 101986415.

It is an arithmetic number, because the mean of its divisors is an integer number (77450784152).

Almost surely, 2^{2121101122400} is an apocalyptic number.

2121101122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121101122400 is an abundant number, since it is smaller than the sum of its proper divisors (3455355336544).

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

2121101122400 is a wasteful number, since it uses less digits than its factorization.

2121101122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203952064 (or 203952051 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2121101122400 its reverse (42211011212), we get a palindrome (2163312133612).

The spelling of 2121101122400 in words is "two trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, four hundred".