10111121111019 has 32 divisors (see below), whose sum is σ = 14352646521600. Its totient is φ = 6313273021440.

The previous prime is 10111121111011. The next prime is 10111121111041. The reversal of 10111121111019 is 91011112111101.

It is not a de Polignac number, because 10111121111019 - 2³ = 10111121111011 is a prime.

It is a super-2 number, since 2×10111121111019² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111121110986 and 10111121111004.

It is not an unprimeable number, because it can be changed into a prime (10111121111011) 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, 34517964 + ... + 34809654.

It is an arithmetic number, because the mean of its divisors is an integer number (448520203800).

Almost surely, 2^{10111121111019} is an apocalyptic number.

10111121111019 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10111121111019 is a deficient number, since it is larger than the sum of its proper divisors (4241525410581).

10111121111019 is a wasteful number, since it uses less digits than its factorization.

10111121111019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298635.

The product of its (nonzero) digits is 18, while the sum is 21.

The spelling of 10111121111019 in words is "ten trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, nineteen".