100113825492700 has 144 divisors (see below), whose sum is σ = 225547362044928. Its totient is φ = 38531030400000.

The previous prime is 100113825492691. The next prime is 100113825492757. The reversal of 100113825492700 is 7294528311001.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381500535 + ... + 381762865.

It is an arithmetic number, because the mean of its divisors is an integer number (1566301125312).

Almost surely, 2^{100113825492700} is an apocalyptic number.

100113825492700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100113825492700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112773681022464).

100113825492700 is an abundant number, since it is smaller than the sum of its proper divisors (125433536552228).

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

100113825492700 is a wasteful number, since it uses less digits than its factorization.

100113825492700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263084 (or 263077 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 100113825492700 in words is "one hundred trillion, one hundred thirteen billion, eight hundred twenty-five million, four hundred ninety-two thousand, seven hundred".