20132212100 has 144 divisors (see below), whose sum is σ = 58656829056. Its totient is φ = 5792256000.

The previous prime is 20132212091. The next prime is 20132212129. The reversal of 20132212100 is 121223102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 47 ways as a sum of consecutive naturals, for example, 461 + ... + 200660.

Almost surely, 2^20132212100 is an apocalyptic number.

20132212100 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 20132212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29328414528).

20132212100 is an abundant number, since it is smaller than the sum of its proper divisors (38524616956).

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

20132212100 is a wasteful number, since it uses less digits than its factorization.

20132212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201166 (or 201159 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20132212100 its reverse (121223102), we get a palindrome (20253435202).

It can be divided in two parts, 20132 and 212100, that added together give a palindrome (232232).

The spelling of 20132212100 in words is "twenty billion, one hundred thirty-two million, two hundred twelve thousand, one hundred".