101102131111 has 16 divisors (see below), whose sum is σ = 107694286560. Its totient is φ = 94583301120.

The previous prime is 101102131063. The next prime is 101102131121. The reversal of 101102131111 is 111131201101.

It is a cyclic number.

It is not a de Polignac number, because 101102131111 - 2⁹ = 101102130599 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102131091 and 101102131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102131121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947451 + ... + 1998691.

It is an arithmetic number, because the mean of its divisors is an integer number (6730892910).

Almost surely, 2^101102131111 is an apocalyptic number.

101102131111 is a deficient number, since it is larger than the sum of its proper divisors (6592155449).

101102131111 is a wasteful number, since it uses less digits than its factorization.

101102131111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51954.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 101102131111 its reverse (111131201101), we get a palindrome (212233332212).

The spelling of 101102131111 in words is "one hundred one billion, one hundred two million, one hundred thirty-one thousand, one hundred eleven".