10001221120121 has 48 divisors (see below), whose sum is σ = 13313930313600. Its totient is φ = 7328462169600.

The previous prime is 10001221120109. The next prime is 10001221120147. The reversal of 10001221120121 is 12102112210001.

10001221120121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10001221120121 - 2²⁶ = 10001154011257 is a prime.

It is a super-2 number, since 2×10001221120121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001221120096 and 10001221120105.

It is not an unprimeable number, because it can be changed into a prime (10001221120151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16564655 + ... + 17157803.

It is an arithmetic number, because the mean of its divisors is an integer number (277373548200).

Almost surely, 2^{10001221120121} is an apocalyptic number.

10001221120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001221120121 is a deficient number, since it is larger than the sum of its proper divisors (3312709193479).

10001221120121 is a wasteful number, since it uses less digits than its factorization.

10001221120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594366 (or 594355 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10001221120121 its reverse (12102112210001), we get a palindrome (22103333330122).

The spelling of 10001221120121 in words is "ten trillion, one billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".