101122111010201 has 2 divisors, whose sum is σ = 101122111010202. Its totient is φ = 101122111010200.

The previous prime is 101122111010161. The next prime is 101122111010231. The reversal of 101122111010201 is 102010111221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51999169992025 + 49122941018176 = 7211045^2 + 7008776^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122111010201 - 2²² = 101122106815897 is a prime.

It is not a weakly prime, because it can be changed into another prime (101122111010231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561055505100 + 50561055505101.

It is an arithmetic number, because the mean of its divisors is an integer number (50561055505101).

Almost surely, 2^{101122111010201} is an apocalyptic number.

It is an amenable number.

101122111010201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122111010201 is an equidigital number, since it uses as much as digits as its factorization.

101122111010201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101122111010201 its reverse (102010111221101), we get a palindrome (203132222231302).

The spelling of 101122111010201 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred eleven million, ten thousand, two hundred one".