10222121024 has 56 divisors (see below), whose sum is σ = 20850926040. Its totient is φ = 4970061824.

The previous prime is 10222120991. The next prime is 10222121053. The reversal of 10222121024 is 42012122201.

It can be written as a sum of positive squares in 4 ways, for example, as 2456986624 + 7765134400 = 49568^2 + 88120^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10222120993 and 10222121011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369962 + ... + 396630.

It is an arithmetic number, because the mean of its divisors is an integer number (372337965).

Almost surely, 2^10222121024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10425463020).

10222121024 is an abundant number, since it is smaller than the sum of its proper divisors (10628805016).

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

10222121024 is a wasteful number, since it uses less digits than its factorization.

10222121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26847 (or 26837 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10222121024 its reverse (42012122201), we get a palindrome (52234243225).

The spelling of 10222121024 in words is "ten billion, two hundred twenty-two million, one hundred twenty-one thousand, twenty-four".