101151253305100 has 72 divisors (see below), whose sum is σ = 227075474676960. Its totient is φ = 39063874913280.

The previous prime is 101151253305097. The next prime is 101151253305149. The reversal of 101151253305100 is 1503352151101.

101151253305100 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79972209 + ... + 81227191.

It is an arithmetic number, because the mean of its divisors is an integer number (3153826037180).

Almost surely, 2^{101151253305100} is an apocalyptic number.

101151253305100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101151253305100 is an abundant number, since it is smaller than the sum of its proper divisors (125924221371860).

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

101151253305100 is a wasteful number, since it uses less digits than its factorization.

101151253305100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282819 (or 1282812 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 28.

The spelling of 101151253305100 in words is "one hundred one trillion, one hundred fifty-one billion, two hundred fifty-three million, three hundred five thousand, one hundred".