102122221201 has 96 divisors (see below), whose sum is σ = 141407933184. Its totient is φ = 71207424000.

The previous prime is 102122221171. The next prime is 102122221213.

It is a happy number.

102122221201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102122221201 - 2¹⁷ = 102122090129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122221241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745417605 + ... + 745417741.

It is an arithmetic number, because the mean of its divisors is an integer number (1472999304).

Almost surely, 2^102122221201 is an apocalyptic number.

102122221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102122221201 is a deficient number, since it is larger than the sum of its proper divisors (39285711983).

102122221201 is a wasteful number, since it uses less digits than its factorization.

102122221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 102122 and 221201, that added together give a palindrome (323323).

The spelling of 102122221201 in words is "one hundred two billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred one".