21101121121122 has 160 divisors (see below), whose sum is σ = 55176824178432. Its totient is φ = 5902897337856.

The previous prime is 21101121121121. The next prime is 21101121121183. The reversal of 21101121121122 is 22112112110112.

It is a happy number.

21101121121122 is a `hidden beast` number, since 211 + 0 + 11 + 211 + 211 + 22 = 666.

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 = 21101121121095 and 21101121121104.

It is not an unprimeable number, because it can be changed into a prime (21101121121121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10410843 + ... + 12271425.

Almost surely, 2^{21101121121122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21101121121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27588412089216).

21101121121122 is an abundant number, since it is smaller than the sum of its proper divisors (34075703057310).

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

21101121121122 is a wasteful number, since it uses less digits than its factorization.

21101121121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860814 (or 1860805 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21101121121122 its reverse (22112112110112), we get a palindrome (43213233231234).

The spelling of 21101121121122 in words is "twenty-one trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-two".