21010222221120 has 672 divisors, whose sum is σ = 81814062919680. Its totient is φ = 5089766492160.

The previous prime is 21010222221101. The next prime is 21010222221167. The reversal of 21010222221120 is 2112222201012.

It is a happy number.

21010222221120 is a `hidden beast` number, since 2 + 101 + 0 + 222 + 221 + 120 = 666.

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 = 21010222221093 and 21010222221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1319812521 + ... + 1319828439.

It is an arithmetic number, because the mean of its divisors is an integer number (121747117440).

Almost surely, 2^{21010222221120} is an apocalyptic number.

21010222221120 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 21010222221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40907031459840).

21010222221120 is an abundant number, since it is smaller than the sum of its proper divisors (60803840698560).

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

21010222221120 is a wasteful number, since it uses less digits than its factorization.

21010222221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17505 (or 17483 counting only the distinct ones).

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

Adding to 21010222221120 its reverse (2112222201012), we get a palindrome (23122444422132).

The spelling of 21010222221120 in words is "twenty-one trillion, ten billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".