21121101010112 has 112 divisors (see below), whose sum is σ = 43031980992000. Its totient is φ = 10280119449600.

The previous prime is 21121101010091. The next prime is 21121101010157. The reversal of 21121101010112 is 21101010112112.

It is a super-2 number, since 2×21121101010112² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990706589 + ... + 990727907.

It is an arithmetic number, because the mean of its divisors is an integer number (384214116000).

Almost surely, 2^{21121101010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121101010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21515990496000).

21121101010112 is an abundant number, since it is smaller than the sum of its proper divisors (21910879981888).

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

21121101010112 is a wasteful number, since it uses less digits than its factorization.

21121101010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22574 (or 22564 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21121101010112 its reverse (21101010112112), we get a palindrome (42222111122224).

The spelling of 21121101010112 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, ten thousand, one hundred twelve".