102101100012111 has 8 divisors (see below), whose sum is σ = 136134890497584. Its totient is φ = 68067354767360.

The previous prime is 102101100012089. The next prime is 102101100012133. The reversal of 102101100012111 is 111210001101201.

It is an interprime number because it is at equal distance from previous prime (102101100012089) and next prime (102101100012133).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102101100012111 - 2³⁷ = 101963661058639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101100012161) 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 7 ways as a sum of consecutive naturals, for example, 5637810 + ... + 15361871.

It is an arithmetic number, because the mean of its divisors is an integer number (17016861312198).

Almost surely, 2^{102101100012111} is an apocalyptic number.

102101100012111 is a deficient number, since it is larger than the sum of its proper divisors (34033790485473).

102101100012111 is a wasteful number, since it uses less digits than its factorization.

102101100012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22620361.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102101100012111 its reverse (111210001101201), we get a palindrome (213311101113312).

The spelling of 102101100012111 in words is "one hundred two trillion, one hundred one billion, one hundred million, twelve thousand, one hundred eleven".