21001112112000 has 384 divisors, whose sum is σ = 73954847472480. Its totient is φ = 5270863872000.

The previous prime is 21001112111977. The next prime is 21001112112007. The reversal of 21001112112000 is 21121110012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001112112007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13115040 + ... + 14628960.

Almost surely, 2^{21001112112000} is an apocalyptic number.

21001112112000 is a gapful number since it is divisible by the number (20) 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 21001112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36977423736240).

21001112112000 is an abundant number, since it is smaller than the sum of its proper divisors (52953735360480).

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

21001112112000 is a wasteful number, since it uses less digits than its factorization.

21001112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513987 (or 1513948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21001112112000 its reverse (21121110012), we get a palindrome (21022233222012).

The spelling of 21001112112000 in words is "twenty-one trillion, one billion, one hundred twelve million, one hundred twelve thousand".