2101112127097 has 2 divisors, whose sum is σ = 2101112127098. Its totient is φ = 2101112127096.

The previous prime is 2101112127091. The next prime is 2101112127113. The reversal of 2101112127097 is 7907212111012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1827955376361 + 273156750736 = 1352019^2 + 522644^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112127097 - 2²⁷ = 2100977909369 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101112127091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050556063548 + 1050556063549.

It is an arithmetic number, because the mean of its divisors is an integer number (1050556063549).

Almost surely, 2^{2101112127097} is an apocalyptic number.

It is an amenable number.

2101112127097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101112127097 is an equidigital number, since it uses as much as digits as its factorization.

2101112127097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3528, while the sum is 34.

The spelling of 2101112127097 in words is "two trillion, one hundred one billion, one hundred twelve million, one hundred twenty-seven thousand, ninety-seven".