102111221220201 has 6 divisors (see below), whose sum is σ = 147493986206970. Its totient is φ = 68074147480128.

The previous prime is 102111221220181. The next prime is 102111221220209. The reversal of 102111221220201 is 102022122111201.

102111221220201 is a `hidden beast` number, since 1 + 0 + 21 + 1 + 1 + 221 + 220 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92992174130025 + 9119047090176 = 9643245^2 + 3019776^2 .

It is not a de Polignac number, because 102111221220201 - 2²⁷ = 102111087002473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102111221220209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5672845623336 + ... + 5672845623353.

It is an arithmetic number, because the mean of its divisors is an integer number (24582331034495).

Almost surely, 2^{102111221220201} is an apocalyptic number.

It is an amenable number.

102111221220201 is a deficient number, since it is larger than the sum of its proper divisors (45382764986769).

102111221220201 is a wasteful number, since it uses less digits than its factorization.

102111221220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345691246695 (or 11345691246692 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102111221220201 its reverse (102022122111201), we get a palindrome (204133343331402).

The spelling of 102111221220201 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, two hundred one".