111101100021 has 48 divisors (see below), whose sum is σ = 167536001776. Its totient is φ = 70882034688.

The previous prime is 111101100017. The next prime is 111101100041. The reversal of 111101100021 is 120001101111.

It can be written as a sum of positive squares in 8 ways, for example, as 8310327921 + 102790772100 = 91161^2 + 320610^2 .

It is not a de Polignac number, because 111101100021 - 2² = 111101100017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111101099976 and 111101100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101100041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9061131 + ... + 9073383.

Almost surely, 2^111101100021 is an apocalyptic number.

It is an amenable number.

111101100021 is a deficient number, since it is larger than the sum of its proper divisors (56434901755).

111101100021 is a wasteful number, since it uses less digits than its factorization.

111101100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12742 (or 12739 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111101100021 its reverse (120001101111), we get a palindrome (231102201132).

The spelling of 111101100021 in words is "one hundred eleven billion, one hundred one million, one hundred thousand, twenty-one".