10221121121101 has 12 divisors (see below), whose sum is σ = 11418962854012. Its totient is φ = 9139601592000.

The previous prime is 10221121121089. The next prime is 10221121121129. The reversal of 10221121121101 is 10112112112201.

10221121121101 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 2 ways, for example, as 5934709887876 + 4286411233225 = 2436126^2 + 2070365^2 .

It is not a de Polignac number, because 10221121121101 - 2¹⁵ = 10221121088333 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 (10221121121171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 692386680 + ... + 692401441.

Almost surely, 2^{10221121121101} is an apocalyptic number.

10221121121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221121121101 is a deficient number, since it is larger than the sum of its proper divisors (1197841732911).

10221121121101 is a wasteful number, since it uses less digits than its factorization.

10221121121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384788204 (or 1384788193 counting only the distinct ones).

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

Adding to 10221121121101 its reverse (10112112112201), we get a palindrome (20333233233302).

The spelling of 10221121121101 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred one".