10002211211121 has 32 divisors (see below), whose sum is σ = 13711581232128. Its totient is φ = 6480885116160.

The previous prime is 10002211211101. The next prime is 10002211211131. The reversal of 10002211211121 is 12111211220001.

It is a happy number.

It is not a de Polignac number, because 10002211211121 - 2¹⁵ = 10002211178353 is a prime.

It is a super-2 number, since 2×10002211211121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10002211211121.

It is not an unprimeable number, because it can be changed into a prime (10002211211101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649866336 + ... + 649881726.

It is an arithmetic number, because the mean of its divisors is an integer number (428486913504).

Almost surely, 2^{10002211211121} is an apocalyptic number.

It is an amenable number.

10002211211121 is a deficient number, since it is larger than the sum of its proper divisors (3709370021007).

10002211211121 is a wasteful number, since it uses less digits than its factorization.

10002211211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21401.

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

Adding to 10002211211121 its reverse (12111211220001), we get a palindrome (22113422431122).

The spelling of 10002211211121 in words is "ten trillion, two billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty-one".