102101111211111 has 16 divisors (see below), whose sum is σ = 138703751192160. Its totient is φ = 66782945923200.

The previous prime is 102101111211101. The next prime is 102101111211139. The reversal of 102101111211111 is 111112111101201.

It is a happy number.

It is not a de Polignac number, because 102101111211111 - 2²⁷ = 102100976993383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101111211101) 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 in 15 ways as a sum of consecutive naturals, for example, 101434245 + ... + 102435873.

It is an arithmetic number, because the mean of its divisors is an integer number (8668984449510).

Almost surely, 2^{102101111211111} is an apocalyptic number.

102101111211111 is a deficient number, since it is larger than the sum of its proper divisors (36602639981049).

102101111211111 is a wasteful number, since it uses less digits than its factorization.

102101111211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642786.

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 102101111211111 its reverse (111112111101201), we get a palindrome (213213222312312).

The spelling of 102101111211111 in words is "one hundred two trillion, one hundred one billion, one hundred eleven million, two hundred eleven thousand, one hundred eleven".