100011102021001 has 16 divisors (see below), whose sum is σ = 101250685935360. Its totient is φ = 98776502323200.

The previous prime is 100011102020909. The next prime is 100011102021037. The reversal of 100011102021001 is 100120201110001.

It is a cyclic number.

It is not a de Polignac number, because 100011102021001 - 2²¹ = 100011099923849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011102021071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213772105 + ... + 214239433.

It is an arithmetic number, because the mean of its divisors is an integer number (6328167870960).

Almost surely, 2^{100011102021001} is an apocalyptic number.

It is an amenable number.

100011102021001 is a deficient number, since it is larger than the sum of its proper divisors (1239583914359).

100011102021001 is a wasteful number, since it uses less digits than its factorization.

100011102021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472656.

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

Adding to 100011102021001 its reverse (100120201110001), we get a palindrome (200131303131002).

The spelling of 100011102021001 in words is "one hundred trillion, eleven billion, one hundred two million, twenty-one thousand, one".