100001001101957 has 2 divisors, whose sum is σ = 100001001101958. Its totient is φ = 100001001101956.

The previous prime is 100001001101929. The next prime is 100001001102031. The reversal of 100001001101957 is 759101100100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98940401840641 + 1060599261316 = 9946879^2 + 1029854^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001001101957 - 2²⁸ = 100000732666501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001001601957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000500550978 + 50000500550979.

It is an arithmetic number, because the mean of its divisors is an integer number (50000500550979).

Almost surely, 2^{100001001101957} is an apocalyptic number.

It is an amenable number.

100001001101957 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001001101957 is an equidigital number, since it uses as much as digits as its factorization.

100001001101957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 26.

Adding to 100001001101957 its reverse (759101100100001), we get a palindrome (859102101201958).

The spelling of 100001001101957 in words is "one hundred trillion, one billion, one million, one hundred one thousand, nine hundred fifty-seven".