2010134013201 has 12 divisors (see below), whose sum is σ = 2929221837828. Its totient is φ = 1328230143744.

The previous prime is 2010134013157. The next prime is 2010134013203. The reversal of 2010134013201 is 1023104310102.

2010134013201 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 340 + 1 + 320 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 308025000000 + 1702109013201 = 555000^2 + 1304649^2 .

It is not a de Polignac number, because 2010134013201 - 2²³ = 2010125624593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2010134013203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988265460 + ... + 988267493.

It is an arithmetic number, because the mean of its divisors is an integer number (244101819819).

Almost surely, 2^{2010134013201} is an apocalyptic number.

It is an amenable number.

2010134013201 is a deficient number, since it is larger than the sum of its proper divisors (919087824627).

2010134013201 is a wasteful number, since it uses less digits than its factorization.

2010134013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976533072 (or 1976533069 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2010134013201 its reverse (1023104310102), we get a palindrome (3033238323303).

The spelling of 2010134013201 in words is "two trillion, ten billion, one hundred thirty-four million, thirteen thousand, two hundred one".