102396768001 has 48 divisors (see below), whose sum is σ = 120939134400. Its totient is φ = 86367600000.

The previous prime is 102396767971. The next prime is 102396768011. The reversal of 102396768001 is 100867693201.

It is not a de Polignac number, because 102396768001 - 2⁵ = 102396767969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102396768011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35198535 + ... + 35201443.

It is an arithmetic number, because the mean of its divisors is an integer number (2519565300).

Almost surely, 2^102396768001 is an apocalyptic number.

102396768001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102396768001 is a deficient number, since it is larger than the sum of its proper divisors (18542366399).

102396768001 is a wasteful number, since it uses less digits than its factorization.

102396768001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 102396768001 in words is "one hundred two billion, three hundred ninety-six million, seven hundred sixty-eight thousand, one".