102638836201 has 16 divisors (see below), whose sum is σ = 113110310016. Its totient is φ = 92358000000.

The previous prime is 102638836189. The next prime is 102638836207.

102638836201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102638836201 - 2⁷ = 102638836073 is a prime.

It is a super-2 number, since 2×102638836201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102638836207) 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, 4656316 + ... + 4678306.

It is an arithmetic number, because the mean of its divisors is an integer number (7069394376).

Almost surely, 2^102638836201 is an apocalyptic number.

102638836201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102638836201 is a deficient number, since it is larger than the sum of its proper divisors (10471473815).

102638836201 is a wasteful number, since it uses less digits than its factorization.

102638836201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26304.

The product of its (nonzero) digits is 82944, while the sum is 40.

It can be divided in two parts, 102638 and 836201, that added together give a palindrome (938839).

The spelling of 102638836201 in words is "one hundred two billion, six hundred thirty-eight million, eight hundred thirty-six thousand, two hundred one".