1001022221200 has 30 divisors (see below), whose sum is σ = 2404955887394. Its totient is φ = 400408888320.

The previous prime is 1001022221153. The next prime is 1001022221219. The reversal of 1001022221200 is 21222201001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 251073149184 + 749949072016 = 501072^2 + 865996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1251277377 + ... + 1251278176.

Almost surely, 2^{1001022221200} is an apocalyptic number.

1001022221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001022221200 is an abundant number, since it is smaller than the sum of its proper divisors (1403933666194).

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

1001022221200 is a wasteful number, since it uses less digits than its factorization.

1001022221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502555571 (or 2502555560 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1001022221200 its reverse (21222201001), we get a palindrome (1022244422201).

The spelling of 1001022221200 in words is "one trillion, one billion, twenty-two million, two hundred twenty-one thousand, two hundred".