10001200221121 has 4 divisors (see below), whose sum is σ = 10092954351700. Its totient is φ = 9909446090544.

The previous prime is 10001200221107. The next prime is 10001200221157. The reversal of 10001200221121 is 12112200210001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7481805913521 + 2519394307600 = 2735289^2 + 1587260^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001200221121 - 2¹³ = 10001200212929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001200201121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45877065126 + ... + 45877065343.

It is an arithmetic number, because the mean of its divisors is an integer number (2523238587925).

Almost surely, 2^{10001200221121} is an apocalyptic number.

It is an amenable number.

10001200221121 is a deficient number, since it is larger than the sum of its proper divisors (91754130579).

10001200221121 is an equidigital number, since it uses as much as digits as its factorization.

10001200221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91754130578.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10001200221121 its reverse (12112200210001), we get a palindrome (22113400431122).

The spelling of 10001200221121 in words is "ten trillion, one billion, two hundred million, two hundred twenty-one thousand, one hundred twenty-one".