10001212221121 has 8 divisors (see below), whose sum is σ = 10956063600000. Its totient is φ = 9053969220240.

The previous prime is 10001212221101. The next prime is 10001212221163. The reversal of 10001212221121 is 12112221210001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10001212221121 - 2²⁷ = 10001078003393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001212221095 and 10001212221104.

It is not an unprimeable number, because it can be changed into a prime (10001212221101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1902091746 + ... + 1902097003.

It is an arithmetic number, because the mean of its divisors is an integer number (1369507950000).

Almost surely, 2^{10001212221121} is an apocalyptic number.

10001212221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001212221121 is a deficient number, since it is larger than the sum of its proper divisors (954851378879).

10001212221121 is a wasteful number, since it uses less digits than its factorization.

10001212221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804188999.

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

Adding to 10001212221121 its reverse (12112221210001), we get a palindrome (22113433431122).

It can be divided in two parts, 1000 and 1212221121, that added together give a palindrome (1212222121).

The spelling of 10001212221121 in words is "ten trillion, one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty-one".