102301971972 has 96 divisors (see below), whose sum is σ = 249080832000. Its totient is φ = 32643183360.

The previous prime is 102301971923. The next prime is 102301971979. The reversal of 102301971972 is 279179103201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102301971979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34110529 + ... + 34113527.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592000).

Almost surely, 2^102301971972 is an apocalyptic number.

102301971972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102301971972 is an abundant number, since it is smaller than the sum of its proper divisors (146778860028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102301971972 is a wasteful number, since it uses less digits than its factorization.

102301971972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The spelling of 102301971972 in words is "one hundred two billion, three hundred one million, nine hundred seventy-one thousand, nine hundred seventy-two".