101100100117001 has 2 divisors, whose sum is σ = 101100100117002. Its totient is φ = 101100100117000.

The previous prime is 101100100116979. The next prime is 101100100117007. The reversal of 101100100117001 is 100711001001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71051328348025 + 30048771768976 = 8429195^2 + 5481676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100100117001 is a prime.

It is a super-2 number, since 2×101100100117001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101100100117007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550050058500 + 50550050058501.

It is an arithmetic number, because the mean of its divisors is an integer number (50550050058501).

Almost surely, 2^{101100100117001} is an apocalyptic number.

It is an amenable number.

101100100117001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100100117001 is an equidigital number, since it uses as much as digits as its factorization.

101100100117001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

Adding to 101100100117001 its reverse (100711001001101), we get a palindrome (201811101118102).

The spelling of 101100100117001 in words is "one hundred one trillion, one hundred billion, one hundred million, one hundred seventeen thousand, one".