1201002002100 has 108 divisors (see below), whose sum is σ = 3778064996524. Its totient is φ = 319110935040.

The previous prime is 1201002002069. The next prime is 1201002002111. The reversal of 1201002002100 is 12002001021.

It can be written as a sum of positive squares in 6 ways, for example, as 191387000484 + 1009615001616 = 437478^2 + 1004796^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2159449 + ... + 2658048.

Almost surely, 2^{1201002002100} is an apocalyptic number.

1201002002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201002002100 is an abundant number, since it is smaller than the sum of its proper divisors (2577062994424).

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

1201002002100 is a wasteful number, since it uses less digits than its factorization.

1201002002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817794 (or 4817784 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1201002002100 its reverse (12002001021), we get a palindrome (1213004003121).

The spelling of 1201002002100 in words is "one trillion, two hundred one billion, two million, two thousand, one hundred".