2100120102061 has 2 divisors, whose sum is σ = 2100120102062. Its totient is φ = 2100120102060.

The previous prime is 2100120101987. The next prime is 2100120102077. The reversal of 2100120102061 is 1602010210012.

It is an a-pointer prime, because the next prime (2100120102077) can be obtained adding 2100120102061 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1746652992100 + 353467109961 = 1321610^2 + 594531^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100120102061 - 2³⁹ = 1550364288173 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100120112061) 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 as a sum of consecutive naturals, namely, 1050060051030 + 1050060051031.

It is an arithmetic number, because the mean of its divisors is an integer number (1050060051031).

Almost surely, 2^{2100120102061} is an apocalyptic number.

It is an amenable number.

2100120102061 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100120102061 is an equidigital number, since it uses as much as digits as its factorization.

2100120102061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2100120102061 its reverse (1602010210012), we get a palindrome (3702130312073).

The spelling of 2100120102061 in words is "two trillion, one hundred billion, one hundred twenty million, one hundred two thousand, sixty-one".