21021102112000 has 144 divisors (see below), whose sum is σ = 52374686180544. Its totient is φ = 8407077120000.

The previous prime is 21021102111991. The next prime is 21021102112009. The reversal of 21021102112000 is 21120112012.

It is an interprime number because it is at equal distance from previous prime (21021102111991) and next prime (21021102112009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021102112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210222015 + ... + 210321985.

It is an arithmetic number, because the mean of its divisors is an integer number (363713098476).

Almost surely, 2^{21021102112000} is an apocalyptic number.

21021102112000 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 21021102112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26187343090272).

21021102112000 is an abundant number, since it is smaller than the sum of its proper divisors (31353584068544).

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

21021102112000 is an frugal number, since it uses more digits than its factorization.

21021102112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106573 (or 106549 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21021102112000 its reverse (21120112012), we get a palindrome (21042222224012).

The spelling of 21021102112000 in words is "twenty-one trillion, twenty-one billion, one hundred two million, one hundred twelve thousand".