102110000001091 has 2 divisors, whose sum is σ = 102110000001092. Its totient is φ = 102110000001090.

The previous prime is 102110000001089. The next prime is 102110000001133. The reversal of 102110000001091 is 190100000011201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102110000001091 - 2¹ = 102110000001089 is a prime.

It is a super-3 number, since 3×102110000001091³ (a number of 43 digits) contains 333 as substring.

Together with 102110000001089, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102110000101091) 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, 51055000000545 + 51055000000546.

It is an arithmetic number, because the mean of its divisors is an integer number (51055000000546).

Almost surely, 2^{102110000001091} is an apocalyptic number.

102110000001091 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110000001091 is an equidigital number, since it uses as much as digits as its factorization.

102110000001091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 102110000001091 its reverse (190100000011201), we get a palindrome (292210000012292).

The spelling of 102110000001091 in words is "one hundred two trillion, one hundred ten billion, one thousand, ninety-one".