101210112112201 has 2 divisors, whose sum is σ = 101210112112202. Its totient is φ = 101210112112200.

The previous prime is 101210112112163. The next prime is 101210112112237. The reversal of 101210112112201 is 102211211012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63313037388601 + 37897074723600 = 7956949^2 + 6156060^2 .

It is a cyclic number.

It is not a de Polignac number, because 101210112112201 - 2⁷ = 101210112112073 is a prime.

It is a super-3 number, since 3×101210112112201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (101210112112261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605056056100 + 50605056056101.

It is an arithmetic number, because the mean of its divisors is an integer number (50605056056101).

Almost surely, 2^{101210112112201} is an apocalyptic number.

It is an amenable number.

101210112112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101210112112201 is an equidigital number, since it uses as much as digits as its factorization.

101210112112201 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 16.

Adding to 101210112112201 its reverse (102211211012101), we get a palindrome (203421323124302).

The spelling of 101210112112201 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, one hundred twelve thousand, two hundred one".