10100000573 has 12 divisors (see below), whose sum is σ = 10939578228. Its totient is φ = 9320613120.

The previous prime is 10100000567. The next prime is 10100000579. The reversal of 10100000573 is 37500000101.

It is an interprime number because it is at equal distance from previous prime (10100000567) and next prime (10100000579).

It can be written as a sum of positive squares in 6 ways, for example, as 107599129 + 9992401444 = 10373^2 + 99962^2 .

It is not a de Polignac number, because 10100000573 - 2²⁰ = 10098951997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000579) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056053 + ... + 1065573.

It is an arithmetic number, because the mean of its divisors is an integer number (911631519).

Almost surely, 2^10100000573 is an apocalyptic number.

10100000573 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10100000573 is a deficient number, since it is larger than the sum of its proper divisors (839577655).

10100000573 is an equidigital number, since it uses as much as digits as its factorization.

10100000573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15824 (or 15811 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

Adding to 10100000573 its reverse (37500000101), we get a palindrome (47600000674).

The spelling of 10100000573 in words is "ten billion, one hundred million, five hundred seventy-three", and thus it is an aban number.