10002211220121 has 8 divisors (see below), whose sum is σ = 13336322178144. Its totient is φ = 6668120537760.

The previous prime is 10002211220107. The next prime is 10002211220171. The reversal of 10002211220121 is 12102211220001.

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

It is not a de Polignac number, because 10002211220121 - 2¹⁴ = 10002211203737 is a prime.

It is a super-3 number, since 3×10002211220121³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10002211220121.

It is not an unprimeable number, because it can be changed into a prime (10002211220171) 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, 3877875 + ... + 5919656.

It is an arithmetic number, because the mean of its divisors is an integer number (1667040272268).

Almost surely, 2^{10002211220121} is an apocalyptic number.

It is an amenable number.

10002211220121 is a deficient number, since it is larger than the sum of its proper divisors (3334110958023).

10002211220121 is an equidigital number, since it uses as much as digits as its factorization.

10002211220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10137831.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10002211220121 its reverse (12102211220001), we get a palindrome (22104422440122).

The spelling of 10002211220121 in words is "ten trillion, two billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty-one".