1200210101001 has 32 divisors (see below), whose sum is σ = 1847765376000. Its totient is φ = 769132177920.

The previous prime is 1200210100963. The next prime is 1200210101039. The reversal of 1200210101001 is 1001010120021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1200210100963) and next prime (1200210101039).

It is not a de Polignac number, because 1200210101001 - 2¹⁴ = 1200210084617 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1200210101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4687176 + ... + 4936601.

It is an arithmetic number, because the mean of its divisors is an integer number (57742668000).

Almost surely, 2^{1200210101001} is an apocalyptic number.

It is an amenable number.

1200210101001 is a deficient number, since it is larger than the sum of its proper divisors (647555274999).

1200210101001 is a wasteful number, since it uses less digits than its factorization.

1200210101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623966 (or 9623960 counting only the distinct ones).

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

Adding to 1200210101001 its reverse (1001010120021), we get a palindrome (2201220221022).

The spelling of 1200210101001 in words is "one trillion, two hundred billion, two hundred ten million, one hundred one thousand, one".