10110140224000 has 80 divisors (see below), whose sum is σ = 25210266691896. Its totient is φ = 4044056064000.

The previous prime is 10110140223977. The next prime is 10110140224007. The reversal of 10110140224000 is 42204101101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1271553927424 + 8838586296576 = 1127632^2 + 2972976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10110140224007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78921471 + ... + 79049470.

Almost surely, 2^{10110140224000} is an apocalyptic number.

10110140224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110140224000 is an abundant number, since it is smaller than the sum of its proper divisors (15100126467896).

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

10110140224000 is an frugal number, since it uses more digits than its factorization.

10110140224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157970974 (or 157970948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10110140224000 its reverse (42204101101), we get a palindrome (10152344325101).

The spelling of 10110140224000 in words is "ten trillion, one hundred ten billion, one hundred forty million, two hundred twenty-four thousand".