2120100002081 has 2 divisors, whose sum is σ = 2120100002082. Its totient is φ = 2120100002080.

The previous prime is 2120100002047. The next prime is 2120100002143. The reversal of 2120100002081 is 1802000010212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2047303105600 + 72796896481 = 1430840^2 + 269809^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2120100002081 is a prime.

It is a super-2 number, since 2×2120100002081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2120100002981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060050001040 + 1060050001041.

It is an arithmetic number, because the mean of its divisors is an integer number (1060050001041).

Almost surely, 2^{2120100002081} is an apocalyptic number.

It is an amenable number.

2120100002081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120100002081 is an equidigital number, since it uses as much as digits as its factorization.

2120100002081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2120100002081 its reverse (1802000010212), we get a palindrome (3922100012293).

The spelling of 2120100002081 in words is "two trillion, one hundred twenty billion, one hundred million, two thousand, eighty-one".