102222102202101 has 64 divisors (see below), whose sum is σ = 173565073981440. Its totient is φ = 58247281128960.

The previous prime is 102222102202039. The next prime is 102222102202109. The reversal of 102222102202101 is 101202201222201.

It is a happy number.

102222102202101 is a `hidden beast` number, since 1 + 0 + 2 + 22 + 210 + 220 + 210 + 1 = 666.

It is not a de Polignac number, because 102222102202101 - 2²⁶ = 102222035093237 is a prime.

It is a super-2 number, since 2×102222102202101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222102202109) 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, 93966556 + ... + 95048186.

It is an arithmetic number, because the mean of its divisors is an integer number (2711954280960).

Almost surely, 2^{102222102202101} is an apocalyptic number.

It is an amenable number.

102222102202101 is a deficient number, since it is larger than the sum of its proper divisors (71342971779339).

102222102202101 is a wasteful number, since it uses less digits than its factorization.

102222102202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083063 (or 1083057 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102222102202101 its reverse (101202201222201), we get a palindrome (203424303424302).

The spelling of 102222102202101 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred two million, two hundred two thousand, one hundred one".