21011121220122 has 96 divisors (see below), whose sum is σ = 52617213792000. Its totient is φ = 5988689602560.

The previous prime is 21011121220099. The next prime is 21011121220129. The reversal of 21011121220122 is 22102212111012.

21011121220122 is a `hidden beast` number, since 210 + 1 + 112 + 1 + 220 + 122 = 666.

It is a super-2 number, since 2×21011121220122² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21011121220095 and 21011121220104.

It is not an unprimeable number, because it can be changed into a prime (21011121220129) 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, 3356754 + ... + 7300002.

It is an arithmetic number, because the mean of its divisors is an integer number (548095977000).

Almost surely, 2^{21011121220122} is an apocalyptic number.

21011121220122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011121220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26308606896000).

21011121220122 is an abundant number, since it is smaller than the sum of its proper divisors (31606092571878).

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

21011121220122 is a wasteful number, since it uses less digits than its factorization.

21011121220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944868 (or 3944865 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21011121220122 its reverse (22102212111012), we get a palindrome (43113333331134).

The spelling of 21011121220122 in words is "twenty-one trillion, eleven billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty-two".