21201444001122 has 128 divisors (see below), whose sum is σ = 52999713220608. Its totient is φ = 5492946700800.

The previous prime is 21201444001099. The next prime is 21201444001123. The reversal of 21201444001122 is 22110044410212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21201444001092 and 21201444001101.

It is not an unprimeable number, because it can be changed into a prime (21201444001123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 407482473 + ... + 407534499.

It is an arithmetic number, because the mean of its divisors is an integer number (414060259536).

Almost surely, 2^{21201444001122} is an apocalyptic number.

21201444001122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201444001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26499856610304).

21201444001122 is an abundant number, since it is smaller than the sum of its proper divisors (31798269219486).

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

21201444001122 is a wasteful number, since it uses less digits than its factorization.

21201444001122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54264.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 21201444001122 its reverse (22110044410212), we get a palindrome (43311488411334).

The spelling of 21201444001122 in words is "twenty-one trillion, two hundred one billion, four hundred forty-four million, one thousand, one hundred twenty-two".