10221221010121 has 64 divisors (see below), whose sum is σ = 12070266451200. Its totient is φ = 8552270848000.

The previous prime is 10221221010101. The next prime is 10221221010131. The reversal of 10221221010121 is 12101012212201.

It is not a de Polignac number, because 10221221010121 - 2¹¹ = 10221221008073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221221010095 and 10221221010104.

It is not an unprimeable number, because it can be changed into a prime (10221221010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1864163046 + ... + 1864168528.

It is an arithmetic number, because the mean of its divisors is an integer number (188597913300).

Almost surely, 2^{10221221010121} is an apocalyptic number.

10221221010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221221010121 is a deficient number, since it is larger than the sum of its proper divisors (1849045441079).

10221221010121 is a wasteful number, since it uses less digits than its factorization.

10221221010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10221221010121 its reverse (12101012212201), we get a palindrome (22322233222322).

The spelling of 10221221010121 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, ten thousand, one hundred twenty-one".