100112012220089 has 2 divisors, whose sum is σ = 100112012220090. Its totient is φ = 100112012220088.

The previous prime is 100112012220013. The next prime is 100112012220097. The reversal of 100112012220089 is 980022210211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93499230250000 + 6612781970089 = 9669500^2 + 2571533^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112012220089 - 2²⁴ = 100111995442873 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112012220289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056006110044 + 50056006110045.

It is an arithmetic number, because the mean of its divisors is an integer number (50056006110045).

Almost surely, 2^{100112012220089} is an apocalyptic number.

It is an amenable number.

100112012220089 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112012220089 is an equidigital number, since it uses as much as digits as its factorization.

100112012220089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 100112012220089 in words is "one hundred trillion, one hundred twelve billion, twelve million, two hundred twenty thousand, eighty-nine".