10001410120224 has 72 divisors (see below), whose sum is σ = 28598645592972. Its totient is φ = 3315384552960.

The previous prime is 10001410120223. The next prime is 10001410120231. The reversal of 10001410120224 is 42202101410001.

10001410120224 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 410 + 1 + 20 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9504469716624 + 496940403600 = 3082932^2 + 704940^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10001410120224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10001410120197 and 10001410120206.

It is not an unprimeable number, because it can be changed into a prime (10001410120223) 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 11 ways as a sum of consecutive naturals, for example, 95879139 + ... + 95983394.

Almost surely, 2^{10001410120224} is an apocalyptic number.

It is an amenable number.

10001410120224 is an abundant number, since it is smaller than the sum of its proper divisors (18597235472748).

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

10001410120224 is a wasteful number, since it uses less digits than its factorization.

10001410120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191862730 (or 191862719 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10001410120224 its reverse (42202101410001), we get a palindrome (52203511530225).

The spelling of 10001410120224 in words is "ten trillion, one billion, four hundred ten million, one hundred twenty thousand, two hundred twenty-four".