102214412201 has 32 divisors (see below), whose sum is σ = 113624985600. Its totient is φ = 91173962880.

The previous prime is 102214412189. The next prime is 102214412207.

102214412201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102214412201 - 2¹⁰ = 102214411177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102214412207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165663245 + ... + 165663861.

It is an arithmetic number, because the mean of its divisors is an integer number (3550780800).

Almost surely, 2^102214412201 is an apocalyptic number.

102214412201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102214412201 is a deficient number, since it is larger than the sum of its proper divisors (11410573399).

102214412201 is a wasteful number, since it uses less digits than its factorization.

102214412201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589.

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 102214 and 412201, that added together give a palindrome (514415).

The spelling of 102214412201 in words is "one hundred two billion, two hundred fourteen million, four hundred twelve thousand, two hundred one".