102101011111049 has 2 divisors, whose sum is σ = 102101011111050. Its totient is φ = 102101011111048.

The previous prime is 102101011110983. The next prime is 102101011111063. The reversal of 102101011111049 is 940111110101201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88677873773449 + 13423137337600 = 9416893^2 + 3663760^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101011111049 - 2²⁰ = 102101010062473 is a prime.

It is not a weakly prime, because it can be changed into another prime (102101011111849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050505555524 + 51050505555525.

It is an arithmetic number, because the mean of its divisors is an integer number (51050505555525).

Almost surely, 2^{102101011111049} is an apocalyptic number.

It is an amenable number.

102101011111049 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101011111049 is an equidigital number, since it uses as much as digits as its factorization.

102101011111049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 23.

The spelling of 102101011111049 in words is "one hundred two trillion, one hundred one billion, eleven million, one hundred eleven thousand, forty-nine".