101112110211121 has 2 divisors, whose sum is σ = 101112110211122. Its totient is φ = 101112110211120.

The previous prime is 101112110211083. The next prime is 101112110211127. The reversal of 101112110211121 is 121112011211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51290591445025 + 49821518766096 = 7161745^2 + 7058436^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112110211121 - 2²³ = 101112101822513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112110211095 and 101112110211104.

It is not a weakly prime, because it can be changed into another prime (101112110211127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556055105560 + 50556055105561.

It is an arithmetic number, because the mean of its divisors is an integer number (50556055105561).

Almost surely, 2^{101112110211121} is an apocalyptic number.

It is an amenable number.

101112110211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112110211121 is an equidigital number, since it uses as much as digits as its factorization.

101112110211121 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 16.

Adding to 101112110211121 its reverse (121112011211101), we get a palindrome (222224121422222).

The spelling of 101112110211121 in words is "one hundred one trillion, one hundred twelve billion, one hundred ten million, two hundred eleven thousand, one hundred twenty-one".