102463262364201 has 16 divisors (see below), whose sum is σ = 138608963204544. Its totient is φ = 67319817099264.

The previous prime is 102463262364193. The next prime is 102463262364209.

It is a happy number.

102463262364201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (102463262364193) and next prime (102463262364209).

It is not a de Polignac number, because 102463262364201 - 2³ = 102463262364193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102463262364209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826881556 + ... + 827005461.

It is an arithmetic number, because the mean of its divisors is an integer number (8663060200284).

Almost surely, 2^{102463262364201} is an apocalyptic number.

It is an amenable number.

102463262364201 is a deficient number, since it is larger than the sum of its proper divisors (36145700840343).

102463262364201 is a wasteful number, since it uses less digits than its factorization.

102463262364201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653887320.

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 102463262364201 in words is "one hundred two trillion, four hundred sixty-three billion, two hundred sixty-two million, three hundred sixty-four thousand, two hundred one".