100110100101997 has 2 divisors, whose sum is σ = 100110100101998. Its totient is φ = 100110100101996.

The previous prime is 100110100101959. The next prime is 100110100102027. The reversal of 100110100101997 is 799101001011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77929946906436 + 22180153195561 = 8827794^2 + 4709581^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110100101997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110100101097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055050050998 + 50055050050999.

It is an arithmetic number, because the mean of its divisors is an integer number (50055050050999).

Almost surely, 2^{100110100101997} is an apocalyptic number.

It is an amenable number.

100110100101997 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110100101997 is an equidigital number, since it uses as much as digits as its factorization.

100110100101997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 31.

Adding to 100110100101997 its reverse (799101001011001), we get a palindrome (899211101112998).

The spelling of 100110100101997 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred one thousand, nine hundred ninety-seven".