10111211001121 has 32 divisors (see below), whose sum is σ = 11431965715200. Its totient is φ = 8885649346560.

The previous prime is 10111211001119. The next prime is 10111211001161. The reversal of 10111211001121 is 12110011211101.

It is not a de Polignac number, because 10111211001121 - 2¹ = 10111211001119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111211001161) 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 31 ways as a sum of consecutive naturals, for example, 70768671 + ... + 70911403.

It is an arithmetic number, because the mean of its divisors is an integer number (357248928600).

Almost surely, 2^{10111211001121} is an apocalyptic number.

It is an amenable number.

10111211001121 is a deficient number, since it is larger than the sum of its proper divisors (1320754714079).

10111211001121 is a wasteful number, since it uses less digits than its factorization.

10111211001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145929.

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

Adding to 10111211001121 its reverse (12110011211101), we get a palindrome (22221222212222).

The spelling of 10111211001121 in words is "ten trillion, one hundred eleven billion, two hundred eleven million, one thousand, one hundred twenty-one".