21121110010311 has 32 divisors (see below), whose sum is σ = 28856003635200. Its totient is φ = 13737311303040.

The previous prime is 21121110010229. The next prime is 21121110010321. The reversal of 21121110010311 is 11301001112112.

It is not a de Polignac number, because 21121110010311 - 2¹⁰ = 21121110009287 is a prime.

It is a super-2 number, since 2×21121110010311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121110010321) 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, 22578666 + ... + 23495496.

It is an arithmetic number, because the mean of its divisors is an integer number (901750113600).

Almost surely, 2^{21121110010311} is an apocalyptic number.

21121110010311 is a deficient number, since it is larger than the sum of its proper divisors (7734893624889).

21121110010311 is a wasteful number, since it uses less digits than its factorization.

21121110010311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917879.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 21121110010311 its reverse (11301001112112), we get a palindrome (32422111122423).

The spelling of 21121110010311 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred ten million, ten thousand, three hundred eleven".