10112011120032 has 24 divisors (see below), whose sum is σ = 26544029190336. Its totient is φ = 3370670373312.

The previous prime is 10112011119989. The next prime is 10112011120033. The reversal of 10112011120032 is 23002111021101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10112011120032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112011119993 and 10112011120020.

It is not an unprimeable number, because it can be changed into a prime (10112011120033) 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 3 ways as a sum of consecutive naturals, for example, 52666724488 + ... + 52666724679.

It is an arithmetic number, because the mean of its divisors is an integer number (1106001216264).

Almost surely, 2^{10112011120032} is an apocalyptic number.

10112011120032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10112011120032 is an abundant number, since it is smaller than the sum of its proper divisors (16432018070304).

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

10112011120032 is a wasteful number, since it uses less digits than its factorization.

10112011120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105333449180 (or 105333449172 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10112011120032 its reverse (23002111021101), we get a palindrome (33114122141133).

The spelling of 10112011120032 in words is "ten trillion, one hundred twelve billion, eleven million, one hundred twenty thousand, thirty-two".