10110001001112 has 96 divisors (see below), whose sum is σ = 29752125312000. Its totient is φ = 3089643756480.

The previous prime is 10110001001041. The next prime is 10110001001117. The reversal of 10110001001112 is 21110010001101.

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 = 10110001001094 and 10110001001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110001001117) 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 23 ways as a sum of consecutive naturals, for example, 119156812 + ... + 119241627.

It is an arithmetic number, because the mean of its divisors is an integer number (309917972000).

Almost surely, 2^{10110001001112} is an apocalyptic number.

10110001001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10110001001112 is an abundant number, since it is smaller than the sum of its proper divisors (19642124310888).

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

10110001001112 is a wasteful number, since it uses less digits than its factorization.

10110001001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238398501 (or 238398494 counting only the distinct ones).

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

Adding to 10110001001112 its reverse (21110010001101), we get a palindrome (31220011002213).

The spelling of 10110001001112 in words is "ten trillion, one hundred ten billion, one million, one thousand, one hundred twelve".