10000101001097 has 2 divisors, whose sum is σ = 10000101001098. Its totient is φ = 10000101001096.

The previous prime is 10000101001063. The next prime is 10000101001133. The reversal of 10000101001097 is 79010010100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5526617967376 + 4473483033721 = 2350876^2 + 2115061^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000101001097 - 2¹² = 10000100997001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000101001057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050500548 + 5000050500549.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050500549).

Almost surely, 2^{10000101001097} is an apocalyptic number.

It is an amenable number.

10000101001097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101001097 is an equidigital number, since it uses as much as digits as its factorization.

10000101001097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 20.

Adding to 10000101001097 its reverse (79010010100001), we get a palindrome (89010111101098).

The spelling of 10000101001097 in words is "ten trillion, one hundred one million, one thousand, ninety-seven".