1100012010201 has 64 divisors (see below), whose sum is σ = 1765656372480. Its totient is φ = 672826176000.

The previous prime is 1100012010199. The next prime is 1100012010203. The reversal of 1100012010201 is 1020102100011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1100012010199) and next prime (1100012010203).

It is not a de Polignac number, because 1100012010201 - 2¹ = 1100012010199 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 (1100012010203) 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 63 ways as a sum of consecutive naturals, for example, 160793541 + ... + 160800381.

It is an arithmetic number, because the mean of its divisors is an integer number (27588380820).

Almost surely, 2^{1100012010201} is an apocalyptic number.

It is an amenable number.

1100012010201 is a deficient number, since it is larger than the sum of its proper divisors (665644362279).

1100012010201 is a wasteful number, since it uses less digits than its factorization.

1100012010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9569 counting only the distinct ones).

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

Adding to 1100012010201 its reverse (1020102100011), we get a palindrome (2120114110212).

The spelling of 1100012010201 in words is "one trillion, one hundred billion, twelve million, ten thousand, two hundred one".