102320263655401 has 72 divisors (see below), whose sum is σ = 120145304061720. Its totient is φ = 87055124766720.

The previous prime is 102320263655381. The next prime is 102320263655411. The reversal of 102320263655401 is 104556362023201.

It can be written as a sum of positive squares in 12 ways, for example, as 4263213210025 + 98057050445376 = 2064755^2 + 9902376^2 .

It is not a de Polignac number, because 102320263655401 - 2⁷ = 102320263655273 is a prime.

It is a super-3 number, since 3×102320263655401³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102320263655411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4930373841 + ... + 4930394593.

It is an arithmetic number, because the mean of its divisors is an integer number (1668684778635).

Almost surely, 2^{102320263655401} is an apocalyptic number.

102320263655401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102320263655401 is a deficient number, since it is larger than the sum of its proper divisors (17825040406319).

102320263655401 is a wasteful number, since it uses less digits than its factorization.

102320263655401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21595 (or 21567 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 102320263655401 in words is "one hundred two trillion, three hundred twenty billion, two hundred sixty-three million, six hundred fifty-five thousand, four hundred one".