112101102111121 has 2 divisors, whose sum is σ = 112101102111122. Its totient is φ = 112101102111120.

The previous prime is 112101102111079. The next prime is 112101102111149. The reversal of 112101102111121 is 121111201101211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108109253953600 + 3991848157521 = 10397560^2 + 1997961^2 .

It is a cyclic number.

It is not a de Polignac number, because 112101102111121 - 2⁹ = 112101102110609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112101102111095 and 112101102111104.

It is not a weakly prime, because it can be changed into another prime (112101102111151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050551055560 + 56050551055561.

It is an arithmetic number, because the mean of its divisors is an integer number (56050551055561).

Almost surely, 2^{112101102111121} is an apocalyptic number.

It is an amenable number.

112101102111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

112101102111121 is an equidigital number, since it uses as much as digits as its factorization.

112101102111121 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 112101102111121 its reverse (121111201101211), we get a palindrome (233212303212332).

The spelling of 112101102111121 in words is "one hundred twelve trillion, one hundred one billion, one hundred two million, one hundred eleven thousand, one hundred twenty-one".