100122021525 has 48 divisors (see below), whose sum is σ = 170334097920. Its totient is φ = 51862041600.

The previous prime is 100122021481. The next prime is 100122021541. The reversal of 100122021525 is 525120221001.

It is not a de Polignac number, because 100122021525 - 2¹⁰ = 100122020501 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612721 + ... + 758729.

It is an arithmetic number, because the mean of its divisors is an integer number (3548627040).

Almost surely, 2^100122021525 is an apocalyptic number.

100122021525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100122021525 is a deficient number, since it is larger than the sum of its proper divisors (70212076395).

100122021525 is a wasteful number, since it uses less digits than its factorization.

100122021525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146286 (or 146281 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 100122021525 its reverse (525120221001), we get a palindrome (625242242526).

The spelling of 100122021525 in words is "one hundred billion, one hundred twenty-two million, twenty-one thousand, five hundred twenty-five".