100110012021001 has 8 divisors (see below), whose sum is σ = 100188929505600. Its totient is φ = 100031119127760.

The previous prime is 100110012020971. The next prime is 100110012021011. The reversal of 100110012021001 is 100120210011001.

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 100110012021001 - 2¹⁷ = 100110011889929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110012021011) 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, 2001510 + ... + 14290768.

It is an arithmetic number, because the mean of its divisors is an integer number (12523616188200).

Almost surely, 2^{100110012021001} is an apocalyptic number.

It is an amenable number.

100110012021001 is a deficient number, since it is larger than the sum of its proper divisors (78917484599).

100110012021001 is a wasteful number, since it uses less digits than its factorization.

100110012021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295679.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110012021001 its reverse (100120210011001), we get a palindrome (200230222032002).

It can be divided in two parts, 1001 and 10012021001, that multiplied together give a palindrome (10022033022001).

The spelling of 100110012021001 in words is "one hundred trillion, one hundred ten billion, twelve million, twenty-one thousand, one".