10001221121101 has 8 divisors (see below), whose sum is σ = 11430460085760. Its totient is φ = 8572105429008.

The previous prime is 10001221121071. The next prime is 10001221121173. The reversal of 10001221121101 is 10112112210001.

It is a happy number.

10001221121101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10001221121101 - 2²³ = 10001212732493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001221121201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30644221 + ... + 30968866.

It is an arithmetic number, because the mean of its divisors is an integer number (1428807510720).

Almost surely, 2^{10001221121101} is an apocalyptic number.

It is an amenable number.

10001221121101 is a deficient number, since it is larger than the sum of its proper divisors (1429238964659).

10001221121101 is an equidigital number, since it uses as much as digits as its factorization.

10001221121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61636283.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10001221121101 its reverse (10112112210001), we get a palindrome (20113333331102).

The spelling of 10001221121101 in words is "ten trillion, one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred one".