10011120001110 has 96 divisors (see below), whose sum is σ = 29010552161760. Its totient is φ = 2380352984064.

The previous prime is 10011120001049. The next prime is 10011120001123. The reversal of 10011120001110 is 1110002111001.

It is a super-3 number, since 3×10011120001110³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10011120001092 and 10011120001101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172160817 + ... + 172218956.

It is an arithmetic number, because the mean of its divisors is an integer number (302193251685).

Almost surely, 2^{10011120001110} is an apocalyptic number.

10011120001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011120001110 is an abundant number, since it is smaller than the sum of its proper divisors (18999432160650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011120001110 is a wasteful number, since it uses less digits than its factorization.

10011120001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344379822 (or 344379819 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011120001110 its reverse (1110002111001), we get a palindrome (11121122112111).

The spelling of 10011120001110 in words is "ten trillion, eleven billion, one hundred twenty million, one thousand, one hundred ten".