101312132111 has 16 divisors (see below), whose sum is σ = 108106034400. Its totient is φ = 94613495808.

The previous prime is 101312132059. The next prime is 101312132137. The reversal of 101312132111 is 111231213101.

It is a cyclic number.

It is not a de Polignac number, because 101312132111 - 2¹⁰ = 101312131087 is a prime.

It is a super-2 number, since 2×101312132111² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101312132111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312132161) 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, 1236620 + ... + 1315998.

It is an arithmetic number, because the mean of its divisors is an integer number (6756627150).

Almost surely, 2^101312132111 is an apocalyptic number.

101312132111 is a deficient number, since it is larger than the sum of its proper divisors (6793902289).

101312132111 is a wasteful number, since it uses less digits than its factorization.

101312132111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79978.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101312132111 its reverse (111231213101), we get a palindrome (212543345212).

The spelling of 101312132111 in words is "one hundred one billion, three hundred twelve million, one hundred thirty-two thousand, one hundred eleven".