102201012201113 has 16 divisors (see below), whose sum is σ = 119958338920320. Its totient is φ = 85232996568576.

The previous prime is 102201012201089. The next prime is 102201012201133. The reversal of 102201012201113 is 311102210102201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102201012201113 - 2³⁶ = 102132292724377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102201012201091 and 102201012201100.

It is not an unprimeable number, because it can be changed into a prime (102201012201133) 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, 126079418 + ... + 126887436.

It is an arithmetic number, because the mean of its divisors is an integer number (7497396182520).

Almost surely, 2^{102201012201113} is an apocalyptic number.

It is an amenable number.

102201012201113 is a deficient number, since it is larger than the sum of its proper divisors (17757326719207).

102201012201113 is an equidigital number, since it uses as much as digits as its factorization.

102201012201113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296416.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102201012201113 its reverse (311102210102201), we get a palindrome (413303222303314).

The spelling of 102201012201113 in words is "one hundred two trillion, two hundred one billion, twelve million, two hundred one thousand, one hundred thirteen".