20132132100 has 144 divisors (see below), whose sum is σ = 61409402880. Its totient is φ = 5078160000.

The previous prime is 20132132099. The next prime is 20132132101. The reversal of 20132132100 is 123123102.

It is an interprime number because it is at equal distance from previous prime (20132132099) and next prime (20132132101).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20132132100.

It is not an unprimeable number, because it can be changed into a prime (20132132101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4278349 + ... + 4283051.

Almost surely, 2^20132132100 is an apocalyptic number.

20132132100 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 20132132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30704701440).

20132132100 is an abundant number, since it is smaller than the sum of its proper divisors (41277270780).

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

20132132100 is a wasteful number, since it uses less digits than its factorization.

20132132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20132132100 its reverse (123123102), we get a palindrome (20255255202).

The spelling of 20132132100 in words is "twenty billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred".