101110012112201 has 2 divisors, whose sum is σ = 101110012112202. Its totient is φ = 101110012112200.

The previous prime is 101110012112177. The next prime is 101110012112203. The reversal of 101110012112201 is 102211210011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62737884525625 + 38372127586576 = 7920725^2 + 6194524^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110012112201 - 2³⁸ = 100835134205257 is a prime.

Together with 101110012112203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101110012112203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555006056100 + 50555006056101.

It is an arithmetic number, because the mean of its divisors is an integer number (50555006056101).

Almost surely, 2^{101110012112201} is an apocalyptic number.

It is an amenable number.

101110012112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110012112201 is an equidigital number, since it uses as much as digits as its factorization.

101110012112201 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 14.

Adding to 101110012112201 its reverse (102211210011101), we get a palindrome (203321222123302).

The spelling of 101110012112201 in words is "one hundred one trillion, one hundred ten billion, twelve million, one hundred twelve thousand, two hundred one".