125001100521 has 24 divisors (see below), whose sum is σ = 208557988704. Its totient is φ = 71301874560.

The previous prime is 125001100517. The next prime is 125001100531.

125001100521 is a `hidden beast` number, since 1 + 2 + 500 + 110 + 0 + 52 + 1 = 666.

125001100521 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 125001100521 - 2² = 125001100517 is a prime.

It is a super-2 number, since 2×125001100521² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125001100494 and 125001100503.

It is not an unprimeable number, because it can be changed into a prime (125001100531) 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, 37134711 + ... + 37138076.

It is an arithmetic number, because the mean of its divisors is an integer number (8689916196).

Almost surely, 2^125001100521 is an apocalyptic number.

125001100521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125001100521 is a deficient number, since it is larger than the sum of its proper divisors (83556888183).

125001100521 is a wasteful number, since it uses less digits than its factorization.

125001100521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74272821 (or 74272818 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

It can be divided in two parts, 125001 and 100521, that added together give a palindrome (225522).

The spelling of 125001100521 in words is "one hundred twenty-five billion, one million, one hundred thousand, five hundred twenty-one".