102126025107 has 24 divisors (see below), whose sum is σ = 155603635200. Its totient is φ = 64365938928.

The previous prime is 102126025091. The next prime is 102126025129. The reversal of 102126025107 is 701520621201.

102126025107 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 602 + 51 + 0 + 7 = 666.

It is not a de Polignac number, because 102126025107 - 2⁴ = 102126025091 is a prime.

It is a super-2 number, since 2×102126025107² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102126025007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 541503 + ... + 705320.

It is an arithmetic number, because the mean of its divisors is an integer number (6483484800).

Almost surely, 2^102126025107 is an apocalyptic number.

102126025107 is a deficient number, since it is larger than the sum of its proper divisors (53477610093).

102126025107 is a wasteful number, since it uses less digits than its factorization.

102126025107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247327 (or 1247324 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 102126025107 its reverse (701520621201), we get a palindrome (803646646308).

The spelling of 102126025107 in words is "one hundred two billion, one hundred twenty-six million, twenty-five thousand, one hundred seven".