21101002022000 has 80 divisors (see below), whose sum is σ = 51053941192800. Its totient is φ = 8435153779200.

The previous prime is 21101002021973. The next prime is 21101002022021. The reversal of 21101002022000 is 22020010112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×21101002022000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60590 + ... + 6496589.

It is an arithmetic number, because the mean of its divisors is an integer number (638174264910).

Almost surely, 2^{21101002022000} is an apocalyptic number.

21101002022000 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 21101002022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25526970596400).

21101002022000 is an abundant number, since it is smaller than the sum of its proper divisors (29952939170800).

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

21101002022000 is a wasteful number, since it uses less digits than its factorization.

21101002022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558811 (or 6558795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21101002022000 its reverse (22020010112), we get a palindrome (21123022032112).

The spelling of 21101002022000 in words is "twenty-one trillion, one hundred one billion, two million, twenty-two thousand".