100111122100201 has 2 divisors, whose sum is σ = 100111122100202. Its totient is φ = 100111122100200.

The previous prime is 100111122100163. The next prime is 100111122100217. The reversal of 100111122100201 is 102001221111001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97320217740201 + 2790904360000 = 9865101^2 + 1670600^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111122100201 - 2²⁷ = 100110987882473 is a prime.

It is a super-2 number, since 2×100111122100201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100111122100261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055561050100 + 50055561050101.

It is an arithmetic number, because the mean of its divisors is an integer number (50055561050101).

Almost surely, 2^{100111122100201} is an apocalyptic number.

It is an amenable number.

100111122100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111122100201 is an equidigital number, since it uses as much as digits as its factorization.

100111122100201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100111122100201 its reverse (102001221111001), we get a palindrome (202112343211202).

The spelling of 100111122100201 in words is "one hundred trillion, one hundred eleven billion, one hundred twenty-two million, one hundred thousand, two hundred one".