101112112202093 has 2 divisors, whose sum is σ = 101112112202094. Its totient is φ = 101112112202092.

The previous prime is 101112112202047. The next prime is 101112112202113. The reversal of 101112112202093 is 390202211211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89693268246409 + 11418843955684 = 9470653^2 + 3379178^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112112202093 - 2⁶ = 101112112202029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101112112202033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50556056101046 + 50556056101047.

It is an arithmetic number, because the mean of its divisors is an integer number (50556056101047).

Almost surely, 2^{101112112202093} is an apocalyptic number.

It is an amenable number.

101112112202093 is a deficient number, since it is larger than the sum of its proper divisors (1).

101112112202093 is an equidigital number, since it uses as much as digits as its factorization.

101112112202093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

Adding to 101112112202093 its reverse (390202211211101), we get a palindrome (491314323413194).

The spelling of 101112112202093 in words is "one hundred one trillion, one hundred twelve billion, one hundred twelve million, two hundred two thousand, ninety-three".