101112111211021 has 8 divisors (see below), whose sum is σ = 101254215279744. Its totient is φ = 100970027004000.

The previous prime is 101112111211009. The next prime is 101112111211073. The reversal of 101112111211021 is 120112111211101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112111211021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112111210986 and 101112111211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112111211621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5238066 + ... + 15154588.

It is an arithmetic number, because the mean of its divisors is an integer number (12656776909968).

Almost surely, 2^{101112111211021} is an apocalyptic number.

It is an amenable number.

101112111211021 is a deficient number, since it is larger than the sum of its proper divisors (142104068723).

101112111211021 is an equidigital number, since it uses as much as digits as its factorization.

101112111211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9930851.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 101112111211021 its reverse (120112111211101), we get a palindrome (221224222422122).

The spelling of 101112111211021 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, two hundred eleven thousand, twenty-one".