21112000021112 has 576 divisors, whose sum is σ = 59233893840000. Its totient is φ = 6944939688960.

The previous prime is 21112000021051. The next prime is 21112000021121.

21112000021112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 401502839 + ... + 401555417.

It is an arithmetic number, because the mean of its divisors is an integer number (102836621250).

Almost surely, 2^{21112000021112} is an apocalyptic number.

21112000021112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112000021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29616946920000).

21112000021112 is an abundant number, since it is smaller than the sum of its proper divisors (38121893818888).

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

21112000021112 is a wasteful number, since it uses less digits than its factorization.

21112000021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52684 (or 52660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 211120000 and 21112, that multiplied together give a square (4457165440000 = 2111200²).

The spelling of 21112000021112 in words is "twenty-one trillion, one hundred twelve billion, twenty-one thousand, one hundred twelve".