20023002100 has 72 divisors (see below), whose sum is σ = 44368832088. Its totient is φ = 7841433600.

The previous prime is 20023002071. The next prime is 20023002143. The reversal of 20023002100 is 120032002.

It can be written as a sum of positive squares in 12 ways, for example, as 9189523044 + 10833479056 = 95862^2 + 104084^2 .

It is a super-2 number, since 2×20023002100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990090 + ... + 1010110.

It is an arithmetic number, because the mean of its divisors is an integer number (616233779).

Almost surely, 2^20023002100 is an apocalyptic number.

20023002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20023002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184416044).

20023002100 is an abundant number, since it is smaller than the sum of its proper divisors (24345829988).

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

20023002100 is a wasteful number, since it uses less digits than its factorization.

20023002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20245 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20023002100 its reverse (120032002), we get a palindrome (20143034102).

The spelling of 20023002100 in words is "twenty billion, twenty-three million, two thousand, one hundred".