10000101320041 has 6 divisors (see below), whose sum is σ = 11632770923370. Its totient is φ = 8571515417136.

The previous prime is 10000101320039. The next prime is 10000101320047. The reversal of 10000101320041 is 14002310100001.

It can be written as a sum of positive squares in only one way, i.e., 6142982078016 + 3857119242025 = 2478504^2 + 1963955^2 .

It is not a de Polignac number, because 10000101320041 - 2¹ = 10000101320039 is a prime.

It is a super-2 number, since 2×10000101320041² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000101320047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102041850156 + ... + 102041850253.

It is an arithmetic number, because the mean of its divisors is an integer number (1938795153895).

Almost surely, 2^{10000101320041} is an apocalyptic number.

It is an amenable number.

10000101320041 is a deficient number, since it is larger than the sum of its proper divisors (1632669603329).

10000101320041 is an equidigital number, since it uses as much as digits as its factorization.

10000101320041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204083700423 (or 204083700416 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10000101320041 its reverse (14002310100001), we get a palindrome (24002411420042).

The spelling of 10000101320041 in words is "ten trillion, one hundred one million, three hundred twenty thousand, forty-one".