102101012122111 has 2 divisors, whose sum is σ = 102101012122112. Its totient is φ = 102101012122110.

The previous prime is 102101012122097. The next prime is 102101012122117. The reversal of 102101012122111 is 111221210101201.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102101012122111 - 2⁵ = 102101012122079 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101012122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050506061055 + 51050506061056.

It is an arithmetic number, because the mean of its divisors is an integer number (51050506061056).

Almost surely, 2^{102101012122111} is an apocalyptic number.

102101012122111 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101012122111 is an equidigital number, since it uses as much as digits as its factorization.

102101012122111 is an odious number, because the sum of its binary digits is odd.

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

Adding to 102101012122111 its reverse (111221210101201), we get a palindrome (213322222223312).

The spelling of 102101012122111 in words is "one hundred two trillion, one hundred one billion, twelve million, one hundred twenty-two thousand, one hundred eleven".