21110221002000 has 640 divisors, whose sum is σ = 77895954339840. Its totient is φ = 4872430387200.

The previous prime is 21110221001981. The next prime is 21110221002061. The reversal of 21110221002000 is 20012201112.

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

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, 356664409 + ... + 356723591.

It is an arithmetic number, because the mean of its divisors is an integer number (121712428656).

Almost surely, 2^{21110221002000} is an apocalyptic number.

21110221002000 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 21110221002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38947977169920).

21110221002000 is an abundant number, since it is smaller than the sum of its proper divisors (56785733337840).

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

21110221002000 is a wasteful number, since it uses less digits than its factorization.

21110221002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59508 (or 59492 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21110221002000 its reverse (20012201112), we get a palindrome (21130233203112).

The spelling of 21110221002000 in words is "twenty-one trillion, one hundred ten billion, two hundred twenty-one million, two thousand".