102120999957 has 24 divisors (see below), whose sum is σ = 149017440000. Its totient is φ = 67384739808.

The previous prime is 102120999947. The next prime is 102120999961. The reversal of 102120999957 is 759999021201.

It is not a de Polignac number, because 102120999957 - 2¹⁰ = 102120998933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120999917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1825519 + ... + 1880627.

It is an arithmetic number, because the mean of its divisors is an integer number (6209060000).

Almost surely, 2^102120999957 is an apocalyptic number.

It is an amenable number.

102120999957 is a deficient number, since it is larger than the sum of its proper divisors (46896440043).

102120999957 is a wasteful number, since it uses less digits than its factorization.

102120999957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57217 (or 57214 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 102120999957 in words is "one hundred two billion, one hundred twenty million, nine hundred ninety-nine thousand, nine hundred fifty-seven".