10110211111121 has 32 divisors (see below), whose sum is σ = 11490303686400. Its totient is φ = 8811482400000.

The previous prime is 10110211111087. The next prime is 10110211111199. The reversal of 10110211111121 is 12111111201101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10110211111121 is a prime.

It is a super-2 number, since 2×10110211111121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10110211111096 and 10110211111105.

It is not an unprimeable number, because it can be changed into a prime (10110211131121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111176771 + ... + 111267671.

It is an arithmetic number, because the mean of its divisors is an integer number (359071990200).

Almost surely, 2^{10110211111121} is an apocalyptic number.

10110211111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110211111121 is a deficient number, since it is larger than the sum of its proper divisors (1380092575279).

10110211111121 is a wasteful number, since it uses less digits than its factorization.

10110211111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93401.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 10110211111121 its reverse (12111111201101), we get a palindrome (22221322312222).

The spelling of 10110211111121 in words is "ten trillion, one hundred ten billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty-one".