2231021100001 has 16 divisors (see below), whose sum is σ = 2334065490000. Its totient is φ = 2129721302016.

The previous prime is 2231021099999. The next prime is 2231021100023. The reversal of 2231021100001 is 1000011201322.

2231021100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 896998410000 + 1334022690001 = 947100^2 + 1154999^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231021100001 - 2¹ = 2231021099999 is a prime.

It is a super-3 number, since 3×2231021100001³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2231021100071) 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, 45166045 + ... + 45215413.

It is an arithmetic number, because the mean of its divisors is an integer number (145879093125).

Almost surely, 2^{2231021100001} is an apocalyptic number.

It is an amenable number.

2231021100001 is a deficient number, since it is larger than the sum of its proper divisors (103044389999).

2231021100001 is a wasteful number, since it uses less digits than its factorization.

2231021100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66996.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2231021100001 its reverse (1000011201322), we get a palindrome (3231032301323).

The spelling of 2231021100001 in words is "two trillion, two hundred thirty-one billion, twenty-one million, one hundred thousand, one".