102100111210921 has 2 divisors, whose sum is σ = 102100111210922. Its totient is φ = 102100111210920.

The previous prime is 102100111210873. The next prime is 102100111210931. The reversal of 102100111210921 is 129012111001201.

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., 86775931929600 + 15324179281321 = 9315360^2 + 3914611^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100111210921 - 2³⁷ = 101962672257449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102100111210892 and 102100111210901.

It is not a weakly prime, because it can be changed into another prime (102100111210931) 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, 51050055605460 + 51050055605461.

It is an arithmetic number, because the mean of its divisors is an integer number (51050055605461).

Almost surely, 2^{102100111210921} is an apocalyptic number.

It is an amenable number.

102100111210921 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100111210921 is an equidigital number, since it uses as much as digits as its factorization.

102100111210921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 102100111210921 in words is "one hundred two trillion, one hundred billion, one hundred eleven million, two hundred ten thousand, nine hundred twenty-one".