1022211103200 has 144 divisors (see below), whose sum is σ = 3802625366400. Its totient is φ = 233648248320.

The previous prime is 1022211103153. The next prime is 1022211103211. The reversal of 1022211103200 is 23011122201.

It is a super-2 number, since 2×1022211103200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1022211103200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30406150 + ... + 30439749.

It is an arithmetic number, because the mean of its divisors is an integer number (26407120600).

Almost surely, 2^{1022211103200} is an apocalyptic number.

1022211103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022211103200 is an abundant number, since it is smaller than the sum of its proper divisors (2780414263200).

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

1022211103200 is a wasteful number, since it uses less digits than its factorization.

1022211103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60845929 (or 60845916 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1022211103200 its reverse (23011122201), we get a palindrome (1045222225401).

The spelling of 1022211103200 in words is "one trillion, twenty-two billion, two hundred eleven million, one hundred three thousand, two hundred".