112101012100109 has 2 divisors, whose sum is σ = 112101012100110. Its totient is φ = 112101012100108.

The previous prime is 112101012100079. The next prime is 112101012100117. The reversal of 112101012100109 is 901001210101211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108432339217225 + 3668672882884 = 10413085^2 + 1915378^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112101012100109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112101012100009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56050506050054 + 56050506050055.

It is an arithmetic number, because the mean of its divisors is an integer number (56050506050055).

Almost surely, 2^{112101012100109} is an apocalyptic number.

It is an amenable number.

112101012100109 is a deficient number, since it is larger than the sum of its proper divisors (1).

112101012100109 is an equidigital number, since it uses as much as digits as its factorization.

112101012100109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 112101012100109 in words is "one hundred twelve trillion, one hundred one billion, twelve million, one hundred thousand, one hundred nine".