2120121000113 has 6 divisors (see below), whose sum is σ = 2160878046054. Its totient is φ = 2080118714336.

The previous prime is 2120121000089. The next prime is 2120121000163. The reversal of 2120121000113 is 3110001210212.

It can be written as a sum of positive squares in 3 ways, for example, as 1269876564544 + 850244435569 = 1126888^2 + 922087^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2120121000113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120121000163) 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 5 ways as a sum of consecutive naturals, for example, 377377220 + ... + 377382837.

It is an arithmetic number, because the mean of its divisors is an integer number (360146341009).

Almost surely, 2^{2120121000113} is an apocalyptic number.

It is an amenable number.

2120121000113 is a deficient number, since it is larger than the sum of its proper divisors (40757045941).

2120121000113 is an frugal number, since it uses more digits than its factorization.

2120121000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754760163 (or 754760110 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2120121000113 its reverse (3110001210212), we get a palindrome (5230122210325).

The spelling of 2120121000113 in words is "two trillion, one hundred twenty billion, one hundred twenty-one million, one hundred thirteen", and thus it is an aban number.