20588997000100 has 81 divisors (see below), whose sum is σ = 44812337679907. Its totient is φ = 8210932895680.

The previous prime is 20588997000071. The next prime is 20588997000107. The reversal of 20588997000100 is 100079988502.

The square root of 20588997000100 is 4537510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7985247369124 + 12603749630976 = 2825818^2 + 3550176^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20588996999999 and 20588997000044.

It is not an unprimeable number, because it can be changed into a prime (20588997000107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26635183314 + ... + 26635184086.

Almost surely, 2^{20588997000100} is an apocalyptic number.

20588997000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20588997000100 is the 4537510-th square number.

It is an amenable number.

20588997000100 is an abundant number, since it is smaller than the sum of its proper divisors (24223340679807).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20588997000100 is an frugal number, since it uses more digits than its factorization.

20588997000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

The spelling of 20588997000100 in words is "twenty trillion, five hundred eighty-eight billion, nine hundred ninety-seven million, one hundred", and thus it is an aban number.