102201102201 has 64 divisors (see below), whose sum is σ = 159015029760. Its totient is φ = 57736800000.

The previous prime is 102201102181. The next prime is 102201102221.

102201102201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (102201102181) and next prime (102201102221).

It is not a de Polignac number, because 102201102201 - 2²¹ = 102199005049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102201102221) 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, 10317351 + ... + 10327251.

It is an arithmetic number, because the mean of its divisors is an integer number (2484609840).

Almost surely, 2^102201102201 is an apocalyptic number.

102201102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201102201 is a deficient number, since it is larger than the sum of its proper divisors (56813927559).

102201102201 is a wasteful number, since it uses less digits than its factorization.

102201102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10198.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 102201 and 102201, that added together give a palindrome (204402).

The spelling of 102201102201 in words is "one hundred two billion, two hundred one million, one hundred two thousand, two hundred one".