102222100222101 has 6 divisors (see below), whose sum is σ = 147654144765270. Its totient is φ = 68148066814728.

The previous prime is 102222100222091. The next prime is 102222100222147. The reversal of 102222100222101 is 101222001222201.

It is a happy number.

102222100222101 is a `hidden beast` number, since 1 + 0 + 222 + 210 + 0 + 22 + 210 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101671426400625 + 550673821476 = 10083225^2 + 742074^2 .

It is not a de Polignac number, because 102222100222101 - 2⁵ = 102222100222069 is a prime.

It is a super-2 number, since 2×102222100222101² (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 (102222100292101) 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, 5679005567886 + ... + 5679005567903.

It is an arithmetic number, because the mean of its divisors is an integer number (24609024127545).

Almost surely, 2^{102222100222101} is an apocalyptic number.

It is an amenable number.

102222100222101 is a deficient number, since it is larger than the sum of its proper divisors (45432044543169).

102222100222101 is a wasteful number, since it uses less digits than its factorization.

102222100222101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11358011135795 (or 11358011135792 counting only the distinct ones).

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

Adding to 102222100222101 its reverse (101222001222201), we get a palindrome (203444101444302).

It can be divided in two parts, 102222100 and 222101, that added together give a palindrome (102444201).

The spelling of 102222100222101 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred million, two hundred twenty-two thousand, one hundred one".