2130121133201 has 16 divisors (see below), whose sum is σ = 2211752466000. Its totient is φ = 2049045024768.

The previous prime is 2130121133177. The next prime is 2130121133209. The reversal of 2130121133201 is 1023311210312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12819674176 + 2117301459025 = 113224^2 + 1455095^2 .

It is not a de Polignac number, because 2130121133201 - 2²² = 2130116938897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2130121133209) 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 15 ways as a sum of consecutive naturals, for example, 11986145 + ... + 12162561.

It is an arithmetic number, because the mean of its divisors is an integer number (138234529125).

Almost surely, 2^{2130121133201} is an apocalyptic number.

It is an amenable number.

2130121133201 is a deficient number, since it is larger than the sum of its proper divisors (81631332799).

2130121133201 is a wasteful number, since it uses less digits than its factorization.

2130121133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177988.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2130121133201 its reverse (1023311210312), we get a palindrome (3153432343513).

The spelling of 2130121133201 in words is "two trillion, one hundred thirty billion, one hundred twenty-one million, one hundred thirty-three thousand, two hundred one".