100113110112377 has 2 divisors, whose sum is σ = 100113110112378. Its totient is φ = 100113110112376.

The previous prime is 100113110112319. The next prime is 100113110112443. The reversal of 100113110112377 is 773211011311001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99434481795856 + 678628316521 = 9971684^2 + 823789^2 .

It is a cyclic number.

It is not a de Polignac number, because 100113110112377 - 2⁶ = 100113110112313 is a prime.

It is not a weakly prime, because it can be changed into another prime (100113110142377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056555056188 + 50056555056189.

It is an arithmetic number, because the mean of its divisors is an integer number (50056555056189).

Almost surely, 2^{100113110112377} is an apocalyptic number.

It is an amenable number.

100113110112377 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113110112377 is an equidigital number, since it uses as much as digits as its factorization.

100113110112377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 29.

Adding to 100113110112377 its reverse (773211011311001), we get a palindrome (873324121423378).

The spelling of 100113110112377 in words is "one hundred trillion, one hundred thirteen billion, one hundred ten million, one hundred twelve thousand, three hundred seventy-seven".