21121112101110 has 256 divisors, whose sum is σ = 60355104473088. Its totient is φ = 4628694067200.

The previous prime is 21121112101087. The next prime is 21121112101121. The reversal of 21121112101110 is 1110121112112.

It is a super-2 number, since 2×21121112101110² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21121112101110.

It is a congruent number.

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, 2494517097 + ... + 2494525563.

It is an arithmetic number, because the mean of its divisors is an integer number (235762126848).

Almost surely, 2^{21121112101110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121112101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30177552236544).

21121112101110 is an abundant number, since it is smaller than the sum of its proper divisors (39233992371978).

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

21121112101110 is a wasteful number, since it uses less digits than its factorization.

21121112101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12019.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 21121112101110 its reverse (1110121112112), we get a palindrome (22231233213222).

The spelling of 21121112101110 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twelve million, one hundred one thousand, one hundred ten".