100112212272101 has 2 divisors, whose sum is σ = 100112212272102. Its totient is φ = 100112212272100.

The previous prime is 100112212272049. The next prime is 100112212272133. The reversal of 100112212272101 is 101272212211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90364016988001 + 9748195284100 = 9505999^2 + 3122210^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112212272101 - 2¹⁰ = 100112212271077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112212272151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056106136050 + 50056106136051.

It is an arithmetic number, because the mean of its divisors is an integer number (50056106136051).

Almost surely, 2^{100112212272101} is an apocalyptic number.

It is an amenable number.

100112212272101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112212272101 is an equidigital number, since it uses as much as digits as its factorization.

100112212272101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 23.

Adding to 100112212272101 its reverse (101272212211001), we get a palindrome (201384424483102).

The spelling of 100112212272101 in words is "one hundred trillion, one hundred twelve billion, two hundred twelve million, two hundred seventy-two thousand, one hundred one".