21202221210120 has 768 divisors, whose sum is σ = 74395187942400. Its totient is φ = 5221012930560.

The previous prime is 21202221210113. The next prime is 21202221210127. The reversal of 21202221210120 is 2101212220212.

It is a happy number.

21202221210120 is a `hidden beast` number, since 21 + 202 + 221 + 210 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21202221210113) and next prime (21202221210127).

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

It is a junction number, because it is equal to n+sod(n) for n = 21202221210093 and 21202221210102.

It is not an unprimeable number, because it can be changed into a prime (21202221210127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19222321489 + ... + 19222322591.

It is an arithmetic number, because the mean of its divisors is an integer number (96868734300).

Almost surely, 2^{21202221210120} is an apocalyptic number.

21202221210120 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 21202221210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37197593971200).

21202221210120 is an abundant number, since it is smaller than the sum of its proper divisors (53192966732280).

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

21202221210120 is a wasteful number, since it uses less digits than its factorization.

21202221210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21202221210120 its reverse (2101212220212), we get a palindrome (23303433430332).

The spelling of 21202221210120 in words is "twenty-one trillion, two hundred two billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty".