100111111000021 has 4 divisors (see below), whose sum is σ = 109212121090944. Its totient is φ = 91010100909100.

The previous prime is 100111111000007. The next prime is 100111111000057. The reversal of 100111111000021 is 120000111111001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100111111000021 - 2⁹ = 100111110999509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111110999971 and 100111111000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111111000091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4550505045445 + ... + 4550505045466.

It is an arithmetic number, because the mean of its divisors is an integer number (27303030272736).

Almost surely, 2^{100111111000021} is an apocalyptic number.

100111111000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111111000021 is a deficient number, since it is larger than the sum of its proper divisors (9101010090923).

100111111000021 is an equidigital number, since it uses as much as digits as its factorization.

100111111000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101010090922.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100111111000021 its reverse (120000111111001), we get a palindrome (220111222111022).

The spelling of 100111111000021 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, twenty-one", and thus it is an aban number.