10010111540205 has 64 divisors (see below), whose sum is σ = 18344765952000. Its totient is φ = 4565921640960.

The previous prime is 10010111540201. The next prime is 10010111540213. The reversal of 10010111540205 is 50204511101001.

It is not a de Polignac number, because 10010111540205 - 2² = 10010111540201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010111540201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87521146 + ... + 87635444.

It is an arithmetic number, because the mean of its divisors is an integer number (286636968000).

Almost surely, 2^{10010111540205} is an apocalyptic number.

10010111540205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10010111540205 is a deficient number, since it is larger than the sum of its proper divisors (8334654411795).

10010111540205 is a wasteful number, since it uses less digits than its factorization.

10010111540205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116154.

The product of its (nonzero) digits is 200, while the sum is 21.

Adding to 10010111540205 its reverse (50204511101001), we get a palindrome (60214622641206).

The spelling of 10010111540205 in words is "ten trillion, ten billion, one hundred eleven million, five hundred forty thousand, two hundred five".