21120221202210 has 288 divisors, whose sum is σ = 62653998700800. Its totient is φ = 4920252180480.

The previous prime is 21120221202193. The next prime is 21120221202211. The reversal of 21120221202210 is 1220212202112.

It is a happy number.

21120221202210 is a `hidden beast` number, since 2 + 11 + 20 + 221 + 202 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21120221202211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 291554695 + ... + 291627125.

It is an arithmetic number, because the mean of its divisors is an integer number (217548606600).

Almost surely, 2^{21120221202210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120221202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31326999350400).

21120221202210 is an abundant number, since it is smaller than the sum of its proper divisors (41533777498590).

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

21120221202210 is a wasteful number, since it uses less digits than its factorization.

21120221202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73498 (or 73482 counting only the distinct ones).

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

Adding to 21120221202210 its reverse (1220212202112), we get a palindrome (22340433404322).

The spelling of 21120221202210 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred two thousand, two hundred ten".