101321111201112 has 96 divisors (see below), whose sum is σ = 309680512362000. Its totient is φ = 29644630229760.

The previous prime is 101321111201059. The next prime is 101321111201203. The reversal of 101321111201112 is 211102111123101.

101321111201112 is a `hidden beast` number, since 101 + 321 + 11 + 120 + 1 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2205678687 + ... + 2205724622.

Almost surely, 2^{101321111201112} is an apocalyptic number.

101321111201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101321111201112 is an abundant number, since it is smaller than the sum of its proper divisors (208359401160888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101321111201112 is a wasteful number, since it uses less digits than its factorization.

101321111201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411403361 (or 4411403354 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 101321111201112 its reverse (211102111123101), we get a palindrome (312423222324213).

The spelling of 101321111201112 in words is "one hundred one trillion, three hundred twenty-one billion, one hundred eleven million, two hundred one thousand, one hundred twelve".