100001100111021 has 12 divisors (see below), whose sum is σ = 148349980345372. Its totient is φ = 64865578450176.

The previous prime is 100001100110993. The next prime is 100001100111041. The reversal of 100001100111021 is 120111001100001.

100001100111021 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 72474403976100 + 27526696134921 = 8513190^2 + 5246589^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100001100111021 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100001100110994 and 100001100111012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001100111041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150151801636 + ... + 150151802301.

Almost surely, 2^{100001100111021} is an apocalyptic number.

It is an amenable number.

100001100111021 is a deficient number, since it is larger than the sum of its proper divisors (48348880234351).

100001100111021 is a wasteful number, since it uses less digits than its factorization.

100001100111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300303603980 (or 300303603977 counting only the distinct ones).

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

Adding to 100001100111021 its reverse (120111001100001), we get a palindrome (220112101211022).

The spelling of 100001100111021 in words is "one hundred trillion, one billion, one hundred million, one hundred eleven thousand, twenty-one".