101233625625 has 240 divisors, whose sum is σ = 204602606208. Its totient is φ = 47808000000.

The previous prime is 101233625611. The next prime is 101233625627. The reversal of 101233625625 is 526526332101.

101233625625 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 3 + 3 + 6 + 25 + 625 = 666.

It is not a de Polignac number, because 101233625625 - 2⁹ = 101233625113 is a prime.

It is a super-4 number, since 4×101233625625⁴ (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101233625625.

It is not an unprimeable number, because it can be changed into a prime (101233625627) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 606189292 + ... + 606189458.

Almost surely, 2^101233625625 is an apocalyptic number.

101233625625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101233625625 is an abundant number, since it is smaller than the sum of its proper divisors (103368980583).

101233625625 is a wasteful number, since it uses less digits than its factorization.

101233625625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 101233625625 its reverse (526526332101), we get a palindrome (627759957726).

The spelling of 101233625625 in words is "one hundred one billion, two hundred thirty-three million, six hundred twenty-five thousand, six hundred twenty-five".