100110001011073 has 2 divisors, whose sum is σ = 100110001011074. Its totient is φ = 100110001011072.

The previous prime is 100110001011047. The next prime is 100110001011077. The reversal of 100110001011073 is 370110100011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98568499979889 + 1541501031184 = 9928167^2 + 1241572^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110001011073 is a prime.

It is a super-2 number, since 2×100110001011073² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100110001011077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055000505536 + 50055000505537.

It is an arithmetic number, because the mean of its divisors is an integer number (50055000505537).

Almost surely, 2^{100110001011073} is an apocalyptic number.

It is an amenable number.

100110001011073 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110001011073 is an equidigital number, since it uses as much as digits as its factorization.

100110001011073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 16.

Adding to 100110001011073 its reverse (370110100011001), we get a palindrome (470220101022074).

The spelling of 100110001011073 in words is "one hundred trillion, one hundred ten billion, one million, eleven thousand, seventy-three".