21001012222120 has 128 divisors (see below), whose sum is σ = 54657177200640. Its totient is φ = 7113082993920.

The previous prime is 21001012222093. The next prime is 21001012222121. The reversal of 21001012222120 is 2122221010012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21001012222094 and 21001012222103.

It is not an unprimeable number, because it can be changed into a prime (21001012222121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465311955 + ... + 465357085.

It is an arithmetic number, because the mean of its divisors is an integer number (427009196880).

Almost surely, 2^{21001012222120} is an apocalyptic number.

21001012222120 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 21001012222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27328588600320).

21001012222120 is an abundant number, since it is smaller than the sum of its proper divisors (33656164978520).

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

21001012222120 is a wasteful number, since it uses less digits than its factorization.

21001012222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65255 (or 65251 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21001012222120 its reverse (2122221010012), we get a palindrome (23123233232132).

The spelling of 21001012222120 in words is "twenty-one trillion, one billion, twelve million, two hundred twenty-two thousand, one hundred twenty".