1200121000101 has 6 divisors (see below), whose sum is σ = 1733508111270. Its totient is φ = 800080666728.

The previous prime is 1200121000079. The next prime is 1200121000109. The reversal of 1200121000101 is 1010001210021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 723018593025 + 477102407076 = 850305^2 + 690726^2 .

It is not a de Polignac number, because 1200121000101 - 2⁶ = 1200121000037 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: 133346777789 = 1200121000101 / (1 + 2 + 0 + 0 + 1 + 2 + 1 + 0 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200121000109) 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, 66673388886 + ... + 66673388903.

It is an arithmetic number, because the mean of its divisors is an integer number (288918018545).

Almost surely, 2^{1200121000101} is an apocalyptic number.

It is an amenable number.

1200121000101 is a deficient number, since it is larger than the sum of its proper divisors (533387111169).

1200121000101 is a wasteful number, since it uses less digits than its factorization.

1200121000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133346777795 (or 133346777792 counting only the distinct ones).

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

Adding to 1200121000101 its reverse (1010001210021), we get a palindrome (2210122210122).

The spelling of 1200121000101 in words is "one trillion, two hundred billion, one hundred twenty-one million, one hundred one", and thus it is an aban number.