102126538563 has 64 divisors (see below), whose sum is σ = 164739993600. Its totient is φ = 54974298240.

The previous prime is 102126538543. The next prime is 102126538573. The reversal of 102126538563 is 365835621201.

It is not a de Polignac number, because 102126538563 - 2⁶ = 102126538499 is a prime.

It is a super-2 number, since 2×102126538563² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102126538523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93607648 + ... + 93608738.

It is an arithmetic number, because the mean of its divisors is an integer number (2574062400).

Almost surely, 2^102126538563 is an apocalyptic number.

102126538563 is a deficient number, since it is larger than the sum of its proper divisors (62613455037).

102126538563 is a wasteful number, since it uses less digits than its factorization.

102126538563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 102126538563 in words is "one hundred two billion, one hundred twenty-six million, five hundred thirty-eight thousand, five hundred sixty-three".