102222100292101 has 2 divisors, whose sum is σ = 102222100292102. Its totient is φ = 102222100292100.

The previous prime is 102222100292093. The next prime is 102222100292153. The reversal of 102222100292101 is 101292001222201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101993234688900 + 228865603201 = 10099170^2 + 478399^2 .

It is a cyclic number.

It is not a de Polignac number, because 102222100292101 - 2³ = 102222100292093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102222100292171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51111050146050 + 51111050146051.

It is an arithmetic number, because the mean of its divisors is an integer number (51111050146051).

Almost surely, 2^{102222100292101} is an apocalyptic number.

It is an amenable number.

102222100292101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102222100292101 is an equidigital number, since it uses as much as digits as its factorization.

102222100292101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 102222100292101 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred million, two hundred ninety-two thousand, one hundred one".