102210202110101 has 2 divisors, whose sum is σ = 102210202110102. Its totient is φ = 102210202110100.

The previous prime is 102210202110097. The next prime is 102210202110139. The reversal of 102210202110101 is 101011202012201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82348909636900 + 19861292473201 = 9074630^2 + 4456601^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210202110101 - 2² = 102210202110097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102210202100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105101055050 + 51105101055051.

It is an arithmetic number, because the mean of its divisors is an integer number (51105101055051).

Almost surely, 2^{102210202110101} is an apocalyptic number.

It is an amenable number.

102210202110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210202110101 is an equidigital number, since it uses as much as digits as its factorization.

102210202110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102210202110101 its reverse (101011202012201), we get a palindrome (203221404122302).

The spelling of 102210202110101 in words is "one hundred two trillion, two hundred ten billion, two hundred two million, one hundred ten thousand, one hundred one".