100111002112021 has 4 divisors (see below), whose sum is σ = 105380002223200. Its totient is φ = 94842002000844.

The previous prime is 100111002112007. The next prime is 100111002112067. The reversal of 100111002112021 is 120211200111001.

It is a happy number.

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 100111002112021 - 2⁷ = 100111002111893 is a prime.

It is a super-3 number, since 3×100111002112021³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111002111992 and 100111002112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111002112081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2634500055561 + ... + 2634500055598.

It is an arithmetic number, because the mean of its divisors is an integer number (26345000555800).

Almost surely, 2^{100111002112021} is an apocalyptic number.

It is an amenable number.

100111002112021 is a deficient number, since it is larger than the sum of its proper divisors (5269000111179).

100111002112021 is an equidigital number, since it uses as much as digits as its factorization.

100111002112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269000111178.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111002112021 its reverse (120211200111001), we get a palindrome (220322202223022).

The spelling of 100111002112021 in words is "one hundred trillion, one hundred eleven billion, two million, one hundred twelve thousand, twenty-one".