101193977825 has 12 divisors (see below), whose sum is σ = 126468572160. Its totient is φ = 80317737360.

The previous prime is 101193977813. The next prime is 101193977837. The reversal of 101193977825 is 528779391101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101193977813) and next prime (101193977837).

It is not a de Polignac number, because 101193977825 - 2¹² = 101193973729 is a prime.

It is a super-2 number, since 2×101193977825² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15932885 + ... + 15939234.

It is an arithmetic number, because the mean of its divisors is an integer number (10539047680).

Almost surely, 2^101193977825 is an apocalyptic number.

It is an amenable number.

101193977825 is a deficient number, since it is larger than the sum of its proper divisors (25274594335).

101193977825 is a wasteful number, since it uses less digits than its factorization.

101193977825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31872256 (or 31872251 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 53.

The spelling of 101193977825 in words is "one hundred one billion, one hundred ninety-three million, nine hundred seventy-seven thousand, eight hundred twenty-five".