213022132022100 has 288 divisors, whose sum is σ = 630529272432640. Its totient is φ = 55512645027840.

The previous prime is 213022132022087. The next prime is 213022132022101. The reversal of 213022132022100 is 1220231220312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213022132022101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3707476572 + ... + 3707534028.

Almost surely, 2^{213022132022100} is an apocalyptic number.

213022132022100 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 213022132022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315264636216320).

213022132022100 is an abundant number, since it is smaller than the sum of its proper divisors (417507140410540).

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

213022132022100 is a wasteful number, since it uses less digits than its factorization.

213022132022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59007 (or 59000 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213022132022100 its reverse (1220231220312), we get a palindrome (214242363242412).

The spelling of 213022132022100 in words is "two hundred thirteen trillion, twenty-two billion, one hundred thirty-two million, twenty-two thousand, one hundred".