1200100012101 has 18 divisors (see below), whose sum is σ = 1774728778758. Its totient is φ = 781460462160.

The previous prime is 1200100012091. The next prime is 1200100012109. The reversal of 1200100012101 is 1012100010021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 843368559201 + 356731452900 = 918351^2 + 597270^2 .

It is not a de Polignac number, because 1200100012101 - 2⁹ = 1200100011589 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200100012109) 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 17 ways as a sum of consecutive naturals, for example, 36041890 + ... + 36075171.

Almost surely, 2^{1200100012101} is an apocalyptic number.

It is an amenable number.

1200100012101 is a deficient number, since it is larger than the sum of its proper divisors (574628766657).

1200100012101 is an equidigital number, since it uses as much as digits as its factorization.

1200100012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72117153 (or 72117107 counting only the distinct ones).

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

Adding to 1200100012101 its reverse (1012100010021), we get a palindrome (2212200022122).

The spelling of 1200100012101 in words is "one trillion, two hundred billion, one hundred million, twelve thousand, one hundred one".