10033100400041 has 16 divisors (see below), whose sum is σ = 10742913029520. Its totient is φ = 9336585308160.

The previous prime is 10033100399947. The next prime is 10033100400101. The reversal of 10033100400041 is 14000400133001.

It can be written as a sum of positive squares in 8 ways, for example, as 669524880025 + 9363575520016 = 818245^2 + 3059996^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10033100400041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 10033100399992 and 10033100400019.

It is not an unprimeable number, because it can be changed into a prime (10033100403041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104223311 + ... + 104319531.

It is an arithmetic number, because the mean of its divisors is an integer number (671432064345).

Almost surely, 2^{10033100400041} is an apocalyptic number.

It is an amenable number.

10033100400041 is a deficient number, since it is larger than the sum of its proper divisors (709812629479).

10033100400041 is an equidigital number, since it uses as much as digits as its factorization.

10033100400041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165244.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10033100400041 its reverse (14000400133001), we get a palindrome (24033500533042).

The spelling of 10033100400041 in words is "ten trillion, thirty-three billion, one hundred million, four hundred thousand, forty-one".