101525413052100 has 72 divisors (see below), whose sum is σ = 297884141569728. Its totient is φ = 26692127369600.

The previous prime is 101525413052081. The next prime is 101525413052159. The reversal of 101525413052100 is 1250314525101.

101525413052100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2383204359 + ... + 2383246958.

It is an arithmetic number, because the mean of its divisors is an integer number (4137279744024).

Almost surely, 2^{101525413052100} is an apocalyptic number.

101525413052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101525413052100 is an abundant number, since it is smaller than the sum of its proper divisors (196358728517628).

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

101525413052100 is a wasteful number, since it uses less digits than its factorization.

101525413052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766451405 (or 4766451398 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 101525413052100 its reverse (1250314525101), we get a palindrome (102775727577201).

The spelling of 101525413052100 in words is "one hundred one trillion, five hundred twenty-five billion, four hundred thirteen million, fifty-two thousand, one hundred".