100311233022001 has 8 divisors (see below), whose sum is σ = 102758439727944. Its totient is φ = 97864054471680.

The previous prime is 100311233021981. The next prime is 100311233022041. The reversal of 100311233022001 is 100220332113001.

It can be written as a sum of positive squares in 4 ways, for example, as 1327657017600 + 98983576004401 = 1152240^2 + 9949049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100311233022001 - 2²⁹ = 100310696151089 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 100311233022001.

It is not an unprimeable number, because it can be changed into a prime (100311233022041) 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 7 ways as a sum of consecutive naturals, for example, 264825 + ... + 14166601.

It is an arithmetic number, because the mean of its divisors is an integer number (12844804965993).

Almost surely, 2^{100311233022001} is an apocalyptic number.

It is an amenable number.

100311233022001 is a deficient number, since it is larger than the sum of its proper divisors (2447206705943).

100311233022001 is a wasteful number, since it uses less digits than its factorization.

100311233022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14077811.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100311233022001 its reverse (100220332113001), we get a palindrome (200531565135002).

The spelling of 100311233022001 in words is "one hundred trillion, three hundred eleven billion, two hundred thirty-three million, twenty-two thousand, one".