10222001001121 has 24 divisors (see below), whose sum is σ = 12815427588264. Its totient is φ = 8081519846400.

The previous prime is 10222001001049. The next prime is 10222001001143. The reversal of 10222001001121 is 12110010022201.

It can be written as a sum of positive squares in 4 ways, for example, as 453250751121 + 9768750250000 = 673239^2 + 3125500^2 .

It is not a de Polignac number, because 10222001001121 - 2²¹ = 10221998903969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10222001001161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5338480 + ... + 6995953.

It is an arithmetic number, because the mean of its divisors is an integer number (533976149511).

Almost surely, 2^{10222001001121} is an apocalyptic number.

It is an amenable number.

10222001001121 is a deficient number, since it is larger than the sum of its proper divisors (2593426587143).

10222001001121 is a wasteful number, since it uses less digits than its factorization.

10222001001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12335761 (or 12335754 counting only the distinct ones).

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

Adding to 10222001001121 its reverse (12110010022201), we get a palindrome (22332011023322).

The spelling of 10222001001121 in words is "ten trillion, two hundred twenty-two billion, one million, one thousand, one hundred twenty-one".