100112002220201 has 2 divisors, whose sum is σ = 100112002220202. Its totient is φ = 100112002220200.

The previous prime is 100112002220179. The next prime is 100112002220273. The reversal of 100112002220201 is 102022200211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56760628621225 + 43351373598976 = 7533965^2 + 6584176^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112002220201 - 2⁶ = 100112002220137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100112002220401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056001110100 + 50056001110101.

It is an arithmetic number, because the mean of its divisors is an integer number (50056001110101).

Almost surely, 2^{100112002220201} is an apocalyptic number.

It is an amenable number.

100112002220201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112002220201 is an equidigital number, since it uses as much as digits as its factorization.

100112002220201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100112002220201 its reverse (102022200211001), we get a palindrome (202134202431202).

The spelling of 100112002220201 in words is "one hundred trillion, one hundred twelve billion, two million, two hundred twenty thousand, two hundred one".