10121111100211 has 16 divisors (see below), whose sum is σ = 10761955602048. Its totient is φ = 9485405363200.

The previous prime is 10121111100203. The next prime is 10121111100251. The reversal of 10121111100211 is 11200111112101.

It is a cyclic number.

It is not a de Polignac number, because 10121111100211 - 2³ = 10121111100203 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121111100191 and 10121111100200.

It is not an unprimeable number, because it can be changed into a prime (10121111100251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2491701 + ... + 5143033.

It is an arithmetic number, because the mean of its divisors is an integer number (672622225128).

Almost surely, 2^{10121111100211} is an apocalyptic number.

10121111100211 is a deficient number, since it is larger than the sum of its proper divisors (640844501837).

10121111100211 is a wasteful number, since it uses less digits than its factorization.

10121111100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652302.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10121111100211 its reverse (11200111112101), we get a palindrome (21321222212312).

The spelling of 10121111100211 in words is "ten trillion, one hundred twenty-one billion, one hundred eleven million, one hundred thousand, two hundred eleven".