10120100002141 has 2 divisors, whose sum is σ = 10120100002142. Its totient is φ = 10120100002140.

The previous prime is 10120100002093. The next prime is 10120100002151. The reversal of 10120100002141 is 14120000102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9314423218116 + 805676784025 = 3051954^2 + 897595^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120100002141 - 2⁷ = 10120100002013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10120100002151) 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, 5060050001070 + 5060050001071.

It is an arithmetic number, because the mean of its divisors is an integer number (5060050001071).

Almost surely, 2^{10120100002141} is an apocalyptic number.

It is an amenable number.

10120100002141 is a deficient number, since it is larger than the sum of its proper divisors (1).

10120100002141 is an equidigital number, since it uses as much as digits as its factorization.

10120100002141 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10120100002141 its reverse (14120000102101), we get a palindrome (24240100104242).

The spelling of 10120100002141 in words is "ten trillion, one hundred twenty billion, one hundred million, two thousand, one hundred forty-one".