213322201112100 has 144 divisors (see below), whose sum is σ = 653982676804800. Its totient is φ = 53501689528320.

The previous prime is 213322201112081. The next prime is 213322201112131. The reversal of 213322201112100 is 1211102223312.

It is a super-3 number, since 3×213322201112100³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7657210 + ... + 22029009.

It is an arithmetic number, because the mean of its divisors is an integer number (4541546366700).

Almost surely, 2^{213322201112100} is an apocalyptic number.

213322201112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213322201112100 is an abundant number, since it is smaller than the sum of its proper divisors (440660475692700).

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

213322201112100 is a wasteful number, since it uses less digits than its factorization.

213322201112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29687662 (or 29687655 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 213322201112100 its reverse (1211102223312), we get a palindrome (214533303335412).

The spelling of 213322201112100 in words is "two hundred thirteen trillion, three hundred twenty-two billion, two hundred one million, one hundred twelve thousand, one hundred".