100112001002021 has 16 divisors (see below), whose sum is σ = 106929383221440. Its totient is φ = 93401099953920.

The previous prime is 100112001001963. The next prime is 100112001002033. The reversal of 100112001002021 is 120200100211001.

It is a cyclic number.

It is not a de Polignac number, because 100112001002021 - 2³⁴ = 100094821132837 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100112001001993 and 100112001002011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112001002051) 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, 50926715 + ... + 52855976.

It is an arithmetic number, because the mean of its divisors is an integer number (6683086451340).

Almost surely, 2^{100112001002021} is an apocalyptic number.

It is an amenable number.

100112001002021 is a deficient number, since it is larger than the sum of its proper divisors (6817382219419).

100112001002021 is a wasteful number, since it uses less digits than its factorization.

100112001002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103783204.

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

Adding to 100112001002021 its reverse (120200100211001), we get a palindrome (220312101213022).

The spelling of 100112001002021 in words is "one hundred trillion, one hundred twelve billion, one million, two thousand, twenty-one".