10010001110112 has 48 divisors (see below), whose sum is σ = 29195836573680. Its totient is φ = 3336667036416.

The previous prime is 10010001110111. The next prime is 10010001110119. The reversal of 10010001110112 is 21101110001001.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 10010001110094 and 10010001110103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010001110111) 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 7 ways as a sum of consecutive naturals, for example, 5792823853 + ... + 5792825580.

It is an arithmetic number, because the mean of its divisors is an integer number (608246595285).

Almost surely, 2^{10010001110112} is an apocalyptic number.

10010001110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010001110112 is an abundant number, since it is smaller than the sum of its proper divisors (19185835463568).

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

10010001110112 is a wasteful number, since it uses less digits than its factorization.

10010001110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585649452 (or 11585649438 counting only the distinct ones).

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

Adding to 10010001110112 its reverse (21101110001001), we get a palindrome (31111111111113).

It can be divided in two parts, 1001000 and 1110112, that added together give a palindrome (2111112).

The spelling of 10010001110112 in words is "ten trillion, ten billion, one million, one hundred ten thousand, one hundred twelve".