10210011221121 has 32 divisors (see below), whose sum is σ = 13819226910720. Its totient is φ = 6704244785664.

The previous prime is 10210011221117. The next prime is 10210011221191. The reversal of 10210011221121 is 12112211001201.

It is a happy number.

It is not a de Polignac number, because 10210011221121 - 2² = 10210011221117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10210011221121.

It is not an unprimeable number, because it can be changed into a prime (10210011221191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325216401 + ... + 325247793.

It is an arithmetic number, because the mean of its divisors is an integer number (431850840960).

Almost surely, 2^{10210011221121} is an apocalyptic number.

It is an amenable number.

10210011221121 is a deficient number, since it is larger than the sum of its proper divisors (3609215689599).

10210011221121 is a wasteful number, since it uses less digits than its factorization.

10210011221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35405.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10210011221121 its reverse (12112211001201), we get a palindrome (22322222222322).

The spelling of 10210011221121 in words is "ten trillion, two hundred ten billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".