21010002221120 has 224 divisors, whose sum is σ = 57884863631616. Its totient is φ = 7188024729600.

The previous prime is 21010002221057. The next prime is 21010002221147. The reversal of 21010002221120 is 2112220001012.

21010002221120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×21010002221120³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21010002221095 and 21010002221104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2811422 + ... + 7065698.

It is an arithmetic number, because the mean of its divisors is an integer number (258414569784).

Almost surely, 2^{21010002221120} is an apocalyptic number.

21010002221120 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 21010002221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28942431815808).

21010002221120 is an abundant number, since it is smaller than the sum of its proper divisors (36874861410496).

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

21010002221120 is a wasteful number, since it uses less digits than its factorization.

21010002221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254389 (or 4254379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21010002221120 its reverse (2112220001012), we get a palindrome (23122222222132).

The spelling of 21010002221120 in words is "twenty-one trillion, ten billion, two million, two hundred twenty-one thousand, one hundred twenty".