21311211211122 has 192 divisors, whose sum is σ = 50711250272256. Its totient is φ = 5951678705280.

The previous prime is 21311211211093. The next prime is 21311211211133. The reversal of 21311211211122 is 22111211211312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7017190188 + ... + 7017193224.

It is an arithmetic number, because the mean of its divisors is an integer number (264121095168).

Almost surely, 2^{21311211211122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311211211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25355625136128).

21311211211122 is an abundant number, since it is smaller than the sum of its proper divisors (29400039061134).

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

21311211211122 is a wasteful number, since it uses less digits than its factorization.

21311211211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5901 (or 5894 counting only the distinct ones).

The product of its digits is 96, while the sum is 21.

Adding to 21311211211122 its reverse (22111211211312), we get a palindrome (43422422422434).

The spelling of 21311211211122 in words is "twenty-one trillion, three hundred eleven billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty-two".