10221121012113 has 12 divisors (see below), whose sum is σ = 16106008867728. Its totient is φ = 6194618795160.

The previous prime is 10221121012093. The next prime is 10221121012127. The reversal of 10221121012113 is 31121012112201.

It is a happy number.

It is not a de Polignac number, because 10221121012113 - 2³⁶ = 10152401535377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10221121012813) 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, 51621823195 + ... + 51621823392.

It is an arithmetic number, because the mean of its divisors is an integer number (1342167405644).

Almost surely, 2^{10221121012113} is an apocalyptic number.

It is an amenable number.

10221121012113 is a deficient number, since it is larger than the sum of its proper divisors (5884887855615).

10221121012113 is a wasteful number, since it uses less digits than its factorization.

10221121012113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103243646604 (or 103243646601 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10221121012113 its reverse (31121012112201), we get a palindrome (41342133124314).

The spelling of 10221121012113 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-one million, twelve thousand, one hundred thirteen".