102100121210993 has 2 divisors, whose sum is σ = 102100121210994. Its totient is φ = 102100121210992.

The previous prime is 102100121210963. The next prime is 102100121211001. The reversal of 102100121210993 is 399012121001201.

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., 69934299704929 + 32165821506064 = 8362673^2 + 5671492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102100121210993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100121210903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050060605496 + 51050060605497.

It is an arithmetic number, because the mean of its divisors is an integer number (51050060605497).

Almost surely, 2^{102100121210993} is an apocalyptic number.

It is an amenable number.

102100121210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100121210993 is an equidigital number, since it uses as much as digits as its factorization.

102100121210993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 102100121210993 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, two hundred ten thousand, nine hundred ninety-three".