213220022100 has 144 divisors (see below), whose sum is σ = 634718500416. Its totient is φ = 55223424000.

The previous prime is 213220022069. The next prime is 213220022101. The reversal of 213220022100 is 1220022312.

It is a happy number.

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 213220022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213220022101) 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, 6321280 + ... + 6354920.

It is an arithmetic number, because the mean of its divisors is an integer number (4407767364).

Almost surely, 2^213220022100 is an apocalyptic number.

213220022100 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 213220022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317359250208).

213220022100 is an abundant number, since it is smaller than the sum of its proper divisors (421498478316).

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

213220022100 is a wasteful number, since it uses less digits than its factorization.

213220022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34266 (or 34259 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 213220022100 its reverse (1220022312), we get a palindrome (214440044412).

The spelling of 213220022100 in words is "two hundred thirteen billion, two hundred twenty million, twenty-two thousand, one hundred".