100333031202001 has 32 divisors (see below), whose sum is σ = 109130902151040. Its totient is φ = 91690856409600.

The previous prime is 100333031201999. The next prime is 100333031202013. The reversal of 100333031202001 is 100202130333001.

It is a cyclic number.

It is not a de Polignac number, because 100333031202001 - 2¹ = 100333031201999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100333031202001.

It is not an unprimeable number, because it can be changed into a prime (100333031202301) 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 31 ways as a sum of consecutive naturals, for example, 12351717126 + ... + 12351725248.

It is an arithmetic number, because the mean of its divisors is an integer number (3410340692220).

Almost surely, 2^{100333031202001} is an apocalyptic number.

It is an amenable number.

100333031202001 is a deficient number, since it is larger than the sum of its proper divisors (8797870949039).

100333031202001 is a wasteful number, since it uses less digits than its factorization.

100333031202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14257.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100333031202001 its reverse (100202130333001), we get a palindrome (200535161535002).

The spelling of 100333031202001 in words is "one hundred trillion, three hundred thirty-three billion, thirty-one million, two hundred two thousand, one".