102554101455201 has 18 divisors (see below), whose sum is σ = 162824647766690. Its totient is φ = 62154000881280.

The previous prime is 102554101455181. The next prime is 102554101455343.

102554101455201 is a `hidden beast` number, since 1 + 0 + 2 + 55 + 41 + 0 + 1 + 45 + 520 + 1 = 666.

102554101455201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 56985121224801 + 45568980230400 = 7548849^2 + 6750480^2 .

It is not a de Polignac number, because 102554101455201 - 2¹⁸ = 102554101193057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102554101415201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47086363216 + ... + 47086365393.

Almost surely, 2^{102554101455201} is an apocalyptic number.

102554101455201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102554101455201 is a deficient number, since it is larger than the sum of its proper divisors (60270546311489).

102554101455201 is a wasteful number, since it uses less digits than its factorization.

102554101455201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94172728637 (or 94172728623 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 102554101455201 in words is "one hundred two trillion, five hundred fifty-four billion, one hundred one million, four hundred fifty-five thousand, two hundred one".