101116814377 has 2 divisors, whose sum is σ = 101116814378. Its totient is φ = 101116814376.

The previous prime is 101116814371. The next prime is 101116814429. The reversal of 101116814377 is 773418611101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58999924201 + 42116890176 = 242899^2 + 205224^2 .

It is an emirp because it is prime and its reverse (773418611101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101116814377 is a prime.

It is a super-2 number, since 2×101116814377² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101116814371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50558407188 + 50558407189.

It is an arithmetic number, because the mean of its divisors is an integer number (50558407189).

Almost surely, 2^101116814377 is an apocalyptic number.

It is an amenable number.

101116814377 is a deficient number, since it is larger than the sum of its proper divisors (1).

101116814377 is an equidigital number, since it uses as much as digits as its factorization.

101116814377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28224, while the sum is 40.

The spelling of 101116814377 in words is "one hundred one billion, one hundred sixteen million, eight hundred fourteen thousand, three hundred seventy-seven".