101112200199937 has 2 divisors, whose sum is σ = 101112200199938. Its totient is φ = 101112200199936.

The previous prime is 101112200199893. The next prime is 101112200200153. The reversal of 101112200199937 is 739991002211101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99080503458561 + 2031696741376 = 9953919^2 + 1425376^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112200199937 - 2¹¹ = 101112200197889 is a prime.

It is not a weakly prime, because it can be changed into another prime (101112200199037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556100099968 + 50556100099969.

It is an arithmetic number, because the mean of its divisors is an integer number (50556100099969).

Almost surely, 2^{101112200199937} is an apocalyptic number.

It is an amenable number.

101112200199937 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112200199937 is an equidigital number, since it uses as much as digits as its factorization.

101112200199937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236, while the sum is 46.

The spelling of 101112200199937 in words is "one hundred one trillion, one hundred twelve billion, two hundred million, one hundred ninety-nine thousand, nine hundred thirty-seven".