100011000847957 has 2 divisors, whose sum is σ = 100011000847958. Its totient is φ = 100011000847956.

The previous prime is 100011000847907. The next prime is 100011000847999. The reversal of 100011000847957 is 759748000110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78768571527556 + 21242429320401 = 8875166^2 + 4608951^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011000847957 - 2²⁷ = 100010866630229 is a prime.

It is a super-3 number, since 3×100011000847957³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011000847907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005500423978 + 50005500423979.

It is an arithmetic number, because the mean of its divisors is an integer number (50005500423979).

Almost surely, 2^{100011000847957} is an apocalyptic number.

It is an amenable number.

100011000847957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011000847957 is an equidigital number, since it uses as much as digits as its factorization.

100011000847957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70560, while the sum is 43.

Adding to 100011000847957 its reverse (759748000110001), we get a palindrome (859759000957958).

The spelling of 100011000847957 in words is "one hundred trillion, eleven billion, eight hundred forty-seven thousand, nine hundred fifty-seven".