213322212312100 has 144 divisors (see below), whose sum is σ = 476133150528000. Its totient is φ = 82908499968000.

The previous prime is 213322212312043. The next prime is 213322212312103. The reversal of 213322212312100 is 1213212223312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (213322212312103) 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, 2987712201 + ... + 2987783599.

It is an arithmetic number, because the mean of its divisors is an integer number (3306480212000).

Almost surely, 2^{213322212312100} is an apocalyptic number.

213322212312100 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 213322212312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238066575264000).

213322212312100 is an abundant number, since it is smaller than the sum of its proper divisors (262810938215900).

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

213322212312100 is a wasteful number, since it uses less digits than its factorization.

213322212312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74414 (or 74407 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 213322212312100 its reverse (1213212223312), we get a palindrome (214535424535412).

The spelling of 213322212312100 in words is "two hundred thirteen trillion, three hundred twenty-two billion, two hundred twelve million, three hundred twelve thousand, one hundred".