102101100111112 has 128 divisors (see below), whose sum is σ = 199245753907200. Its totient is φ = 48997770393600.

The previous prime is 102101100111053. The next prime is 102101100111119. The reversal of 102101100111112 is 211111001101201.

It is a junction number, because it is equal to n+sod(n) for n = 102101100111092 and 102101100111101.

It is not an unprimeable number, because it can be changed into a prime (102101100111119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31817106564 + ... + 31817109772.

It is an arithmetic number, because the mean of its divisors is an integer number (1556607452400).

Almost surely, 2^{102101100111112} is an apocalyptic number.

It is an amenable number.

102101100111112 is a deficient number, since it is larger than the sum of its proper divisors (97144653796088).

102101100111112 is a wasteful number, since it uses less digits than its factorization.

102101100111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5127 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 102101100111112 its reverse (211111001101201), we get a palindrome (313212101212313).

The spelling of 102101100111112 in words is "one hundred two trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred twelve".