100001101097 has 2 divisors, whose sum is σ = 100001101098. Its totient is φ = 100001101096.

The previous prime is 100001101061. The next prime is 100001101133. The reversal of 100001101097 is 790101100001.

It is a balanced prime because it is at equal distance from previous prime (100001101061) and next prime (100001101133).

It can be written as a sum of positive squares in only one way, i.e., 89594856976 + 10406244121 = 299324^2 + 102011^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001101097 - 2¹⁴ = 100001084713 is a prime.

It is a super-2 number, since 2×100001101097² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100001101027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000550548 + 50000550549.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550549).

Almost surely, 2^100001101097 is an apocalyptic number.

It is an amenable number.

100001101097 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001101097 is an equidigital number, since it uses as much as digits as its factorization.

100001101097 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 20.

Adding to 100001101097 its reverse (790101100001), we get a palindrome (890102201098).

The spelling of 100001101097 in words is "one hundred billion, one million, one hundred one thousand, ninety-seven".