102455464554201 has 48 divisors (see below), whose sum is σ = 156385383122304. Its totient is φ = 59565068640000.

The previous prime is 102455464554167. The next prime is 102455464554271.

102455464554201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102455464554201 - 2¹⁴ = 102455464537817 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (102455464554271) 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, 52766700 + ... + 54673901.

It is an arithmetic number, because the mean of its divisors is an integer number (3258028815048).

Almost surely, 2^{102455464554201} is an apocalyptic number.

102455464554201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102455464554201 is a deficient number, since it is larger than the sum of its proper divisors (53929918568103).

102455464554201 is a wasteful number, since it uses less digits than its factorization.

102455464554201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107440734 (or 107440723 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 48.

The spelling of 102455464554201 in words is "one hundred two trillion, four hundred fifty-five billion, four hundred sixty-four million, five hundred fifty-four thousand, two hundred one".