100112000211001 has 2 divisors, whose sum is σ = 100112000211002. Its totient is φ = 100112000211000.

The previous prime is 100112000210951. The next prime is 100112000211023.

100112000211001 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76746377771001 + 23365622440000 = 8760501^2 + 4833800^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 100112000211001 - 2¹⁵ = 100112000178233 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112000211061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056000105500 + 50056000105501.

It is an arithmetic number, because the mean of its divisors is an integer number (50056000105501).

Almost surely, 2^{100112000211001} is an apocalyptic number.

It is an amenable number.

100112000211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112000211001 is an equidigital number, since it uses as much as digits as its factorization.

100112000211001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 100112000 and 211001, that added together give a palindrome (100323001).

The spelling of 100112000211001 in words is "one hundred trillion, one hundred twelve billion, two hundred eleven thousand, one".