201000100001001 has 32 divisors (see below), whose sum is σ = 316924226519040. Its totient is φ = 110869734513216.

The previous prime is 201000100000933. The next prime is 201000100001021. The reversal of 201000100001001 is 100100001000102.

It is not a de Polignac number, because 201000100001001 - 2⁹ = 201000100000489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201000100001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37473261 + ... + 42499946.

It is an arithmetic number, because the mean of its divisors is an integer number (9903882078720).

Almost surely, 2^{201000100001001} is an apocalyptic number.

201000100001001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201000100001001 is a deficient number, since it is larger than the sum of its proper divisors (115924126518039).

201000100001001 is a wasteful number, since it uses less digits than its factorization.

201000100001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79977373.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 201000100001001 its reverse (100100001000102), we get a palindrome (301100101001103).

It can be divided in two parts, 201000 and 100001001, that added together give a palindrome (100202001).

The spelling of 201000100001001 in words is "two hundred one trillion, one hundred million, one thousand, one".