100125303521001 has 24 divisors (see below), whose sum is σ = 146748325665312. Its totient is φ = 60678606436800.

The previous prime is 100125303520981. The next prime is 100125303521017.

100125303521001 is nontrivially palindromic in base 10.

100125303521001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100125303521001 - 2⁶ = 100125303520937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100125303521021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214116 + ... + 14202981.

It is an arithmetic number, because the mean of its divisors is an integer number (6114513569388).

Almost surely, 2^{100125303521001} is an apocalyptic number.

100125303521001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100125303521001 is a deficient number, since it is larger than the sum of its proper divisors (46623022144311).

100125303521001 is a wasteful number, since it uses less digits than its factorization.

100125303521001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15435013 (or 15435002 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 10012530 and 3521001, that added together give a palindrome (13533531).

The spelling of 100125303521001 in words is "one hundred trillion, one hundred twenty-five billion, three hundred three million, five hundred twenty-one thousand, one".