10155015241001 has 16 divisors (see below), whose sum is σ = 10417255676688. Its totient is φ = 9893473920000.

The previous prime is 10155015240841. The next prime is 10155015241039. The reversal of 10155015241001 is 10014251055101.

It is a happy number.

10155015241001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2147807491600 + 8007207749401 = 1465540^2 + 2829701^2 .

It is a cyclic number.

It is not a de Polignac number, because 10155015241001 - 2¹⁴ = 10155015224617 is a prime.

It is a super-2 number, since 2×10155015241001² (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 (10155015240001) 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, 147137501 + ... + 147206501.

It is an arithmetic number, because the mean of its divisors is an integer number (651078479793).

Almost surely, 2^{10155015241001} is an apocalyptic number.

It is an amenable number.

10155015241001 is a deficient number, since it is larger than the sum of its proper divisors (262240435687).

10155015241001 is an equidigital number, since it uses as much as digits as its factorization.

10155015241001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74012.

The product of its (nonzero) digits is 1000, while the sum is 26.

Adding to 10155015241001 its reverse (10014251055101), we get a palindrome (20169266296102).

The spelling of 10155015241001 in words is "ten trillion, one hundred fifty-five billion, fifteen million, two hundred forty-one thousand, one".