102133553255601 has 16 divisors (see below), whose sum is σ = 155633857766400. Its totient is φ = 58361364201168.

The previous prime is 102133553255519. The next prime is 102133553255627. The reversal of 102133553255601 is 106552355331201.

It is not a de Polignac number, because 102133553255601 - 2³¹ = 102131405771953 is a prime.

It is a super-2 number, since 2×102133553255601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102133553255641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25873221 + ... + 29558258.

It is an arithmetic number, because the mean of its divisors is an integer number (9727116110400).

Almost surely, 2^{102133553255601} is an apocalyptic number.

It is an amenable number.

102133553255601 is a deficient number, since it is larger than the sum of its proper divisors (53500304510799).

102133553255601 is an equidigital number, since it uses as much as digits as its factorization.

102133553255601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55519228.

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 102133553255601 in words is "one hundred two trillion, one hundred thirty-three billion, five hundred fifty-three million, two hundred fifty-five thousand, six hundred one".