101122211101201 has 2 divisors, whose sum is σ = 101122211101202. Its totient is φ = 101122211101200.

The previous prime is 101122211101169. The next prime is 101122211101207. The reversal of 101122211101201 is 102101112221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92947049219025 + 8175161882176 = 9640905^2 + 2859224^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122211101201 - 2⁵ = 101122211101169 is a prime.

It is a super-2 number, since 2×101122211101201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101122211101207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561105550600 + 50561105550601.

It is an arithmetic number, because the mean of its divisors is an integer number (50561105550601).

Almost surely, 2^{101122211101201} is an apocalyptic number.

It is an amenable number.

101122211101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122211101201 is an equidigital number, since it uses as much as digits as its factorization.

101122211101201 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101122211101201 its reverse (102101112221101), we get a palindrome (203223323322302).

The spelling of 101122211101201 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred one thousand, two hundred one".