100112100000973 has 2 divisors, whose sum is σ = 100112100000974. Its totient is φ = 100112100000972.

The previous prime is 100112100000961. The next prime is 100112100001019. The reversal of 100112100000973 is 379000001211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87564621614409 + 12547478386564 = 9357597^2 + 3542242^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112100000973 - 2⁹ = 100112100000461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100112100000923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056050000486 + 50056050000487.

It is an arithmetic number, because the mean of its divisors is an integer number (50056050000487).

Almost surely, 2^{100112100000973} is an apocalyptic number.

It is an amenable number.

100112100000973 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112100000973 is an equidigital number, since it uses as much as digits as its factorization.

100112100000973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 25.

Adding to 100112100000973 its reverse (379000001211001), we get a palindrome (479112101211974).

The spelling of 100112100000973 in words is "one hundred trillion, one hundred twelve billion, one hundred million, nine hundred seventy-three", and thus it is an aban number.