100112331041 has 2 divisors, whose sum is σ = 100112331042. Its totient is φ = 100112331040.

The previous prime is 100112331019. The next prime is 100112331043. The reversal of 100112331041 is 140133211001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86045422225 + 14066908816 = 293335^2 + 118604^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112331041 - 2¹⁴ = 100112314657 is a prime.

Together with 100112331043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100112331043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056165520 + 50056165521.

It is an arithmetic number, because the mean of its divisors is an integer number (50056165521).

Almost surely, 2^100112331041 is an apocalyptic number.

It is an amenable number.

100112331041 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112331041 is an equidigital number, since it uses as much as digits as its factorization.

100112331041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100112331041 its reverse (140133211001), we get a palindrome (240245542042).

The spelling of 100112331041 in words is "one hundred billion, one hundred twelve million, three hundred thirty-one thousand, forty-one".