101200210101121 has 2 divisors, whose sum is σ = 101200210101122. Its totient is φ = 101200210101120.

The previous prime is 101200210101073. The next prime is 101200210101173. The reversal of 101200210101121 is 121101012002101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86654948970496 + 14545261130625 = 9308864^2 + 3813825^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200210101121 - 2¹¹ = 101200210099073 is a prime.

It is a super-2 number, since 2×101200210101121² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101200210105121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600105050560 + 50600105050561.

It is an arithmetic number, because the mean of its divisors is an integer number (50600105050561).

Almost surely, 2^{101200210101121} is an apocalyptic number.

It is an amenable number.

101200210101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200210101121 is an equidigital number, since it uses as much as digits as its factorization.

101200210101121 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 101200210101121 its reverse (121101012002101), we get a palindrome (222301222103222).

The spelling of 101200210101121 in words is "one hundred one trillion, two hundred billion, two hundred ten million, one hundred one thousand, one hundred twenty-one".