100100100099973 has 2 divisors, whose sum is σ = 100100100099974. Its totient is φ = 100100100099972.

The previous prime is 100100100099919. The next prime is 100100100100051. The reversal of 100100100099973 is 379990001001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54699011390884 + 45401088709089 = 7395878^2 + 6738033^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100100099973 is a prime.

It is a super-2 number, since 2×100100100099973² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100100099073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050050049986 + 50050050049987.

It is an arithmetic number, because the mean of its divisors is an integer number (50050050049987).

Almost surely, 2^{100100100099973} is an apocalyptic number.

It is an amenable number.

100100100099973 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100100099973 is an equidigital number, since it uses as much as digits as its factorization.

100100100099973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15309, while the sum is 40.

The spelling of 100100100099973 in words is "one hundred trillion, one hundred billion, one hundred million, ninety-nine thousand, nine hundred seventy-three".