21102033020112 has 480 divisors, whose sum is σ = 68744486678400. Its totient is φ = 5975385292800.

The previous prime is 21102033020087. The next prime is 21102033020129.

21102033020112 is a `hidden beast` number, since 2 + 110 + 20 + 330 + 201 + 1 + 2 = 666.

21102033020112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1127657668 + ... + 1127676380.

It is an arithmetic number, because the mean of its divisors is an integer number (143217680580).

Almost surely, 2^{21102033020112} is an apocalyptic number.

21102033020112 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 21102033020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372243339200).

21102033020112 is an abundant number, since it is smaller than the sum of its proper divisors (47642453658288).

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

21102033020112 is a wasteful number, since it uses less digits than its factorization.

21102033020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19267 (or 19258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 2110203 and 3020112, that added together give a palindrome (5130315).

The spelling of 21102033020112 in words is "twenty-one trillion, one hundred two billion, thirty-three million, twenty thousand, one hundred twelve".