102101100109993 has 2 divisors, whose sum is σ = 102101100109994. Its totient is φ = 102101100109992.

The previous prime is 102101100109961. The next prime is 102101100109999. The reversal of 102101100109993 is 399901001101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88585969888144 + 13515130221849 = 9412012^2 + 3676293^2 .

It is a cyclic number.

It is not a de Polignac number, because 102101100109993 - 2⁵ = 102101100109961 is a prime.

It is not a weakly prime, because it can be changed into another prime (102101100109999) 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, 51050550054996 + 51050550054997.

It is an arithmetic number, because the mean of its divisors is an integer number (51050550054997).

Almost surely, 2^{102101100109993} is an apocalyptic number.

It is an amenable number.

102101100109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101100109993 is an equidigital number, since it uses as much as digits as its factorization.

102101100109993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 37.

The spelling of 102101100109993 in words is "one hundred two trillion, one hundred one billion, one hundred million, one hundred nine thousand, nine hundred ninety-three".