1002120212200 has 48 divisors (see below), whose sum is σ = 2368125087660. Its totient is φ = 394276800000.

The previous prime is 1002120212153. The next prime is 1002120212227. The reversal of 1002120212200 is 22120212001.

It is a happy number.

1002120212200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 182142875524 + 819977336676 = 426782^2 + 905526^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41058301 + ... + 41082700.

Almost surely, 2^{1002120212200} is an apocalyptic number.

1002120212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002120212200 is an abundant number, since it is smaller than the sum of its proper divisors (1366004875460).

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

1002120212200 is a wasteful number, since it uses less digits than its factorization.

1002120212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82141078 (or 82141069 counting only the distinct ones).

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

Adding to 1002120212200 its reverse (22120212001), we get a palindrome (1024240424201).

The spelling of 1002120212200 in words is "one trillion, two billion, one hundred twenty million, two hundred twelve thousand, two hundred".