102013310201 has 16 divisors (see below), whose sum is σ = 117845342208. Its totient is φ = 87275385600.

The previous prime is 102013310177. The next prime is 102013310207.

102013310201 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 102013310201 - 2⁶ = 102013310137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102013310207) 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, 2444531 + ... + 2485911.

It is an arithmetic number, because the mean of its divisors is an integer number (7365333888).

Almost surely, 2^102013310201 is an apocalyptic number.

102013310201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102013310201 is a deficient number, since it is larger than the sum of its proper divisors (15832032007).

102013310201 is a wasteful number, since it uses less digits than its factorization.

102013310201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54592.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 102013 and 310201, that added together give a palindrome (412214).

The spelling of 102013310201 in words is "one hundred two billion, thirteen million, three hundred ten thousand, two hundred one".