1001100002121 has 6 divisors (see below), whose sum is σ = 1446033336410. Its totient is φ = 667400001408.

The previous prime is 1001100002117. The next prime is 1001100002137. The reversal of 1001100002121 is 1212000011001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 888834128400 + 112265873721 = 942780^2 + 335061^2 .

It is not a de Polignac number, because 1001100002121 - 2² = 1001100002117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111233333569 = 1001100002121 / (1 + 0 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 2 + 1 + 2 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001100072121) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 55616666776 + ... + 55616666793.

Almost surely, 2^{1001100002121} is an apocalyptic number.

It is an amenable number.

1001100002121 is a deficient number, since it is larger than the sum of its proper divisors (444933334289).

1001100002121 is a wasteful number, since it uses less digits than its factorization.

1001100002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111233333575 (or 111233333572 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001100002121 its reverse (1212000011001), we get a palindrome (2213100013122).

The spelling of 1001100002121 in words is "one trillion, one billion, one hundred million, two thousand, one hundred twenty-one".