102101010999991 has 2 divisors, whose sum is σ = 102101010999992. Its totient is φ = 102101010999990.

The previous prime is 102101010999821. The next prime is 102101011000019. The reversal of 102101010999991 is 199999010101201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102101010999991 - 2³⁵ = 102066651261623 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101010999391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050505499995 + 51050505499996.

It is an arithmetic number, because the mean of its divisors is an integer number (51050505499996).

Almost surely, 2^{102101010999991} is an apocalyptic number.

102101010999991 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101010999991 is an equidigital number, since it uses as much as digits as its factorization.

102101010999991 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118098, while the sum is 52.

The spelling of 102101010999991 in words is "one hundred two trillion, one hundred one billion, ten million, nine hundred ninety-nine thousand, nine hundred ninety-one".