100100033001 has 12 divisors (see below), whose sum is σ = 144596263812. Its totient is φ = 66729973536.

The previous prime is 100100032997. The next prime is 100100033003. The reversal of 100100033001 is 100330001001.

It can be written as a sum of positive squares in 2 ways, for example, as 76562336601 + 23537696400 = 276699^2 + 153420^2 .

It is not a de Polignac number, because 100100033001 - 2² = 100100032997 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 (100100033003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87286 + ... + 455871.

It is an arithmetic number, because the mean of its divisors is an integer number (12049688651).

Almost surely, 2^100100033001 is an apocalyptic number.

It is an amenable number.

100100033001 is a deficient number, since it is larger than the sum of its proper divisors (44496230811).

100100033001 is a wasteful number, since it uses less digits than its factorization.

100100033001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563640 (or 563637 counting only the distinct ones).

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

Adding to 100100033001 its reverse (100330001001), we get a palindrome (200430034002).

The spelling of 100100033001 in words is "one hundred billion, one hundred million, thirty-three thousand, one".