100100100001073 has 2 divisors, whose sum is σ = 100100100001074. Its totient is φ = 100100100001072.

The previous prime is 100100100001051. The next prime is 100100100001103. The reversal of 100100100001073 is 370100001001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94988960227984 + 5111139773089 = 9746228^2 + 2260783^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100100001073 - 2¹² = 100100099996977 is a prime.

It is a super-3 number, since 3×100100100001073³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100100100001043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050000536 + 50050050000537.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050000537).

Almost surely, 2^{100100100001073} is an apocalyptic number.

It is an amenable number.

100100100001073 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100001073 is an equidigital number, since it uses as much as digits as its factorization.

100100100001073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 14.

Adding to 100100100001073 its reverse (370100001001001), we get a palindrome (470200101002074).

The spelling of 100100100001073 in words is "one hundred trillion, one hundred billion, one hundred million, one thousand, seventy-three".