102202011321101 has 2 divisors, whose sum is σ = 102202011321102. Its totient is φ = 102202011321100.

The previous prime is 102202011321073. The next prime is 102202011321199. The reversal of 102202011321101 is 101123110202201.

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., 95584821009001 + 6617190312100 = 9776749^2 + 2572390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102202011321101 is a prime.

It is a super-2 number, since 2×102202011321101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102202011321101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102202011321301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101005660550 + 51101005660551.

It is an arithmetic number, because the mean of its divisors is an integer number (51101005660551).

Almost surely, 2^{102202011321101} is an apocalyptic number.

It is an amenable number.

102202011321101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202011321101 is an equidigital number, since it uses as much as digits as its factorization.

102202011321101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102202011321101 its reverse (101123110202201), we get a palindrome (203325121523302).

The spelling of 102202011321101 in words is "one hundred two trillion, two hundred two billion, eleven million, three hundred twenty-one thousand, one hundred one".