1122202012100 has 36 divisors (see below), whose sum is σ = 2622499782084. Its totient is φ = 414351511680.

The previous prime is 1122202012093. The next prime is 1122202012147. The reversal of 1122202012100 is 12102022211.

It can be written as a sum of positive squares in 6 ways, for example, as 377681535364 + 744520476736 = 614558^2 + 862856^2 .

It is a super-2 number, since 2×1122202012100² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 431614859 + ... + 431617458.

It is an arithmetic number, because the mean of its divisors is an integer number (72847216169).

Almost surely, 2^{1122202012100} is an apocalyptic number.

1122202012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122202012100 is an abundant number, since it is smaller than the sum of its proper divisors (1500297769984).

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

1122202012100 is a wasteful number, since it uses less digits than its factorization.

1122202012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863232344 (or 863232337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1122202012100 its reverse (12102022211), we get a palindrome (1134304034311).

The spelling of 1122202012100 in words is "one trillion, one hundred twenty-two billion, two hundred two million, twelve thousand, one hundred".