2120313011001 has 16 divisors (see below), whose sum is σ = 2893205219520. Its totient is φ = 1380489929280.

The previous prime is 2120313010979. The next prime is 2120313011101. The reversal of 2120313011001 is 1001103130212.

It is a happy number.

It is not a de Polignac number, because 2120313011001 - 2⁵ = 2120313010969 is a prime.

It is a super-3 number, since 3×2120313011001³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120313011101) 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, 63066 + ... + 2060243.

It is an arithmetic number, because the mean of its divisors is an integer number (180825326220).

Almost surely, 2^{2120313011001} is an apocalyptic number.

It is an amenable number.

2120313011001 is a deficient number, since it is larger than the sum of its proper divisors (772892208519).

2120313011001 is a wasteful number, since it uses less digits than its factorization.

2120313011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131096.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2120313011001 its reverse (1001103130212), we get a palindrome (3121416141213).

The spelling of 2120313011001 in words is "two trillion, one hundred twenty billion, three hundred thirteen million, eleven thousand, one".