2211231122100 has 864 divisors, whose sum is σ = 9557588441856. Its totient is φ = 412662988800.

The previous prime is 2211231122083. The next prime is 2211231122153. The reversal of 2211231122100 is 12211321122.

2211231122100 is a `hidden beast` number, since 2 + 211 + 231 + 1 + 221 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33300132 + ... + 33366468.

Almost surely, 2^{2211231122100} is an apocalyptic number.

2211231122100 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 2211231122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778794220928).

2211231122100 is an abundant number, since it is smaller than the sum of its proper divisors (7346357319756).

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

2211231122100 is a wasteful number, since it uses less digits than its factorization.

2211231122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66425 (or 66415 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2211231122100 its reverse (12211321122), we get a palindrome (2223442443222).

The spelling of 2211231122100 in words is "two trillion, two hundred eleven billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred".