10112121001140 has 96 divisors (see below), whose sum is σ = 28854971604480. Its totient is φ = 2645473499136.

The previous prime is 10112121001139. The next prime is 10112121001247. The reversal of 10112121001140 is 4110012121101.

It is a happy number.

It is a super-2 number, since 2×10112121001140² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6049957 + ... + 7538316.

It is an arithmetic number, because the mean of its divisors is an integer number (300572620880).

Almost surely, 2^{10112121001140} is an apocalyptic number.

10112121001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112121001140 is an abundant number, since it is smaller than the sum of its proper divisors (18742850603340).

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

10112121001140 is a wasteful number, since it uses less digits than its factorization.

10112121001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13588521 (or 13588519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10112121001140 its reverse (4110012121101), we get a palindrome (14222133122241).

The spelling of 10112121001140 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, one thousand, one hundred forty".