1000201112001 has 48 divisors (see below), whose sum is σ = 1807285159680. Its totient is φ = 518929752960.

The previous prime is 1000201111997. The next prime is 1000201112021. The reversal of 1000201112001 is 1002111020001.

It is a happy number.

It is not a de Polignac number, because 1000201112001 - 2² = 1000201111997 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 (1000201112021) 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 47 ways as a sum of consecutive naturals, for example, 9960261 + ... + 10060178.

It is an arithmetic number, because the mean of its divisors is an integer number (37651774160).

Almost surely, 2^{1000201112001} is an apocalyptic number.

It is an amenable number.

1000201112001 is a deficient number, since it is larger than the sum of its proper divisors (807084047679).

1000201112001 is a wasteful number, since it uses less digits than its factorization.

1000201112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020526 (or 20020523 counting only the distinct ones).

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

Adding to 1000201112001 its reverse (1002111020001), we get a palindrome (2002312132002).

The spelling of 1000201112001 in words is "one trillion, two hundred one million, one hundred twelve thousand, one".