211122101300 has 144 divisors (see below), whose sum is σ = 508941800640. Its totient is φ = 75368448000.

The previous prime is 211122101299. The next prime is 211122101339. The reversal of 211122101300 is 3101221112.

It is a congruent number.

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, 61069172 + ... + 61072628.

It is an arithmetic number, because the mean of its divisors is an integer number (3534318060).

Almost surely, 2^211122101300 is an apocalyptic number.

211122101300 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 211122101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254470900320).

211122101300 is an abundant number, since it is smaller than the sum of its proper divisors (297819699340).

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

211122101300 is a wasteful number, since it uses less digits than its factorization.

211122101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 211122101300 its reverse (3101221112), we get a palindrome (214223322412).

The spelling of 211122101300 in words is "two hundred eleven billion, one hundred twenty-two million, one hundred one thousand, three hundred".