10121113123211 has 16 divisors (see below), whose sum is σ = 10818455248224. Its totient is φ = 9435132493824.

The previous prime is 10121113123153. The next prime is 10121113123213. The reversal of 10121113123211 is 11232131112101.

It is a cyclic number.

It is not a de Polignac number, because 10121113123211 - 2¹⁰ = 10121113122187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121113123213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10361171 + ... + 11295843.

It is an arithmetic number, because the mean of its divisors is an integer number (676153453014).

Almost surely, 2^{10121113123211} is an apocalyptic number.

10121113123211 is a deficient number, since it is larger than the sum of its proper divisors (697342125013).

10121113123211 is a wasteful number, since it uses less digits than its factorization.

10121113123211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940750.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 10121113123211 its reverse (11232131112101), we get a palindrome (21353244235312).

The spelling of 10121113123211 in words is "ten trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred twenty-three thousand, two hundred eleven".