100111112001021 has 16 divisors (see below), whose sum is σ = 145782201907008. Its totient is φ = 60604218297600.

The previous prime is 100111112000981. The next prime is 100111112001037. The reversal of 100111112001021 is 120100211111001.

It is not a de Polignac number, because 100111112001021 - 2³⁵ = 100076752262653 is a prime.

It is a super-4 number, since 4×100111112001021⁴ (a number of 57 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100111112000988 and 100111112001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111102001021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729543500 + ... + 1729601381.

It is an arithmetic number, because the mean of its divisors is an integer number (9111387619188).

Almost surely, 2^{100111112001021} is an apocalyptic number.

100111112001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111112001021 is a deficient number, since it is larger than the sum of its proper divisors (45671089905987).

100111112001021 is a wasteful number, since it uses less digits than its factorization.

100111112001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459145772.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100111112001021 its reverse (120100211111001), we get a palindrome (220211323112022).

The spelling of 100111112001021 in words is "one hundred trillion, one hundred eleven billion, one hundred twelve million, one thousand, twenty-one".