100111200002021 has 12 divisors (see below), whose sum is σ = 108405050654340. Its totient is φ = 92409814074240.

The previous prime is 100111200002017. The next prime is 100111200002041. The reversal of 100111200002021 is 120200002111001.

It can be written as a sum of positive squares in 6 ways, for example, as 1580979316900 + 98530220685121 = 1257370^2 + 9926239^2 .

It is not a de Polignac number, because 100111200002021 - 2² = 100111200002017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111200001993 and 100111200002011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111200002041) 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, 29944745 + ... + 33119633.

It is an arithmetic number, because the mean of its divisors is an integer number (9033754221195).

Almost surely, 2^{100111200002021} is an apocalyptic number.

It is an amenable number.

100111200002021 is a deficient number, since it is larger than the sum of its proper divisors (8293850652319).

100111200002021 is a wasteful number, since it uses less digits than its factorization.

100111200002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361496 (or 3361483 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100111200002021 its reverse (120200002111001), we get a palindrome (220311202113022).

The spelling of 100111200002021 in words is "one hundred trillion, one hundred eleven billion, two hundred million, two thousand, twenty-one".