1000100033001 has 16 divisors (see below), whose sum is σ = 1484647273920. Its totient is φ = 665375437440.

The previous prime is 1000100032993. The next prime is 1000100033021. The reversal of 1000100033001 is 1003300010001.

It is not a de Polignac number, because 1000100033001 - 2³ = 1000100032993 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 (1000100033021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37706440 + ... + 37732953.

It is an arithmetic number, because the mean of its divisors is an integer number (92790454620).

Almost surely, 2^{1000100033001} is an apocalyptic number.

It is an amenable number.

1000100033001 is a deficient number, since it is larger than the sum of its proper divisors (484547240919).

1000100033001 is an equidigital number, since it uses as much as digits as its factorization.

1000100033001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75439893 (or 75439887 counting only the distinct ones).

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

Adding to 1000100033001 its reverse (1003300010001), we get a palindrome (2003400043002).

The spelling of 1000100033001 in words is "one trillion, one hundred million, thirty-three thousand, one".