102112011011101 has 64 divisors (see below), whose sum is σ = 130926156480000. Its totient is φ = 77456960695296.

The previous prime is 102112011011071. The next prime is 102112011011107. The reversal of 102112011011101 is 101110110211201.

It is not a de Polignac number, because 102112011011101 - 2¹⁷ = 102112010880029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112011011107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620987971 + ... + 621152383.

It is an arithmetic number, because the mean of its divisors is an integer number (2045721195000).

Almost surely, 2^{102112011011101} is an apocalyptic number.

It is an amenable number.

102112011011101 is a deficient number, since it is larger than the sum of its proper divisors (28814145468899).

102112011011101 is a wasteful number, since it uses less digits than its factorization.

102112011011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166118.

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

Adding to 102112011011101 its reverse (101110110211201), we get a palindrome (203222121222302).

It can be divided in two parts, 10211201 and 1011101, that multiplied together give a palindrome (10324555542301).

The spelling of 102112011011101 in words is "one hundred two trillion, one hundred twelve billion, eleven million, eleven thousand, one hundred one".