2120012120101 has 8 divisors (see below), whose sum is σ = 2131657221080. Its totient is φ = 2108373829632.

The previous prime is 2120012120089. The next prime is 2120012120113. The reversal of 2120012120101 is 1010212100212.

It is an interprime number because it is at equal distance from previous prime (2120012120089) and next prime (2120012120113).

It can be written as a sum of positive squares in 4 ways, for example, as 502603013025 + 1617409107076 = 708945^2 + 1271774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2120012120101 - 2¹³ = 2120012111909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120012120131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077720 + ... + 2324113.

It is an arithmetic number, because the mean of its divisors is an integer number (266457152635).

Almost surely, 2^{2120012120101} is an apocalyptic number.

It is an amenable number.

2120012120101 is a deficient number, since it is larger than the sum of its proper divisors (11645100979).

2120012120101 is a wasteful number, since it uses less digits than its factorization.

2120012120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405255.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2120012120101 its reverse (1010212100212), we get a palindrome (3130224220313).

The spelling of 2120012120101 in words is "two trillion, one hundred twenty billion, twelve million, one hundred twenty thousand, one hundred one".