100000001001097 has 2 divisors, whose sum is σ = 100000001001098. Its totient is φ = 100000001001096.

The previous prime is 100000001001073. The next prime is 100000001001137. The reversal of 100000001001097 is 790100100000001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99842542031376 + 157458969721 = 9992124^2 + 396811^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100000001001097 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000001005097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000000500548 + 50000000500549.

It is an arithmetic number, because the mean of its divisors is an integer number (50000000500549).

Almost surely, 2^{100000001001097} is an apocalyptic number.

It is an amenable number.

100000001001097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000001001097 is an equidigital number, since it uses as much as digits as its factorization.

100000001001097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 19.

Adding to 100000001001097 its reverse (790100100000001), we get a palindrome (890100101001098).

The spelling of 100000001001097 in words is "one hundred trillion, one million, one thousand, ninety-seven".