1001121204200 has 96 divisors (see below), whose sum is σ = 2654103798360. Its totient is φ = 347900928000.

The previous prime is 1001121204151. The next prime is 1001121204233. The reversal of 1001121204200 is 24021211001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 4314650596 + 996806553604 = 65686^2 + 998402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11280701 + ... + 11369100.

Almost surely, 2^{1001121204200} is an apocalyptic number.

1001121204200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001121204200 is an abundant number, since it is smaller than the sum of its proper divisors (1652982594160).

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

1001121204200 is a wasteful number, since it uses less digits than its factorization.

1001121204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22649847 (or 22649838 counting only the distinct ones).

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

Adding to 1001121204200 its reverse (24021211001), we get a palindrome (1025142415201).

The spelling of 1001121204200 in words is "one trillion, one billion, one hundred twenty-one million, two hundred four thousand, two hundred".