21121011022122 has 256 divisors, whose sum is σ = 54575521943040. Its totient is φ = 5983750656000.

The previous prime is 21121011022109. The next prime is 21121011022147. The reversal of 21121011022122 is 22122011012112.

21121011022122 is a `hidden beast` number, since 211 + 210 + 1 + 1 + 0 + 221 + 22 = 666.

It is a super-2 number, since 2×21121011022122² (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 = 21121011022095 and 21121011022104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2272782508 + ... + 2272791800.

It is an arithmetic number, because the mean of its divisors is an integer number (213185632590).

Almost surely, 2^{21121011022122} is an apocalyptic number.

21121011022122 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 21121011022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27287760971520).

21121011022122 is an abundant number, since it is smaller than the sum of its proper divisors (33454510920918).

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

21121011022122 is a wasteful number, since it uses less digits than its factorization.

21121011022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10806 (or 10800 counting only the distinct ones).

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

Adding to 21121011022122 its reverse (22122011012112), we get a palindrome (43243022034234).

The spelling of 21121011022122 in words is "twenty-one trillion, one hundred twenty-one billion, eleven million, twenty-two thousand, one hundred twenty-two".