101202021121100 has 72 divisors (see below), whose sum is σ = 220433271836400. Its totient is φ = 40328767353600.

The previous prime is 101202021121057. The next prime is 101202021121139. The reversal of 101202021121100 is 1121120202101.

101202021121100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909944495 + ... + 910055705.

It is an arithmetic number, because the mean of its divisors is an integer number (3061573219950).

Almost surely, 2^{101202021121100} is an apocalyptic number.

101202021121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202021121100 is an abundant number, since it is smaller than the sum of its proper divisors (119231250715300).

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

101202021121100 is a wasteful number, since it uses less digits than its factorization.

101202021121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145323 (or 145316 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101202021121100 its reverse (1121120202101), we get a palindrome (102323141323201).

The spelling of 101202021121100 in words is "one hundred one trillion, two hundred two billion, twenty-one million, one hundred twenty-one thousand, one hundred".