100112120102201 has 2 divisors, whose sum is σ = 100112120102202. Its totient is φ = 100112120102200.

The previous prime is 100112120102153. The next prime is 100112120102213. The reversal of 100112120102201 is 102201021211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61236259129600 + 38875860972601 = 7825360^2 + 6235051^2 .

It is an emirp because it is prime and its reverse (102201021211001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100112120102201 - 2²² = 100112115907897 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112120102101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056060051100 + 50056060051101.

It is an arithmetic number, because the mean of its divisors is an integer number (50056060051101).

Almost surely, 2^{100112120102201} is an apocalyptic number.

It is an amenable number.

100112120102201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112120102201 is an equidigital number, since it uses as much as digits as its factorization.

100112120102201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112120102201 its reverse (102201021211001), we get a palindrome (202313141313202).

The spelling of 100112120102201 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty million, one hundred two thousand, two hundred one".