10102100101061 has 2 divisors, whose sum is σ = 10102100101062. Its totient is φ = 10102100101060.

The previous prime is 10102100101001. The next prime is 10102100101087. The reversal of 10102100101061 is 16010100120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6559822276225 + 3542277824836 = 2561215^2 + 1882094^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102100101061 - 2¹⁸ = 10102099838917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102100101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051050050530 + 5051050050531.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050050531).

Almost surely, 2^{10102100101061} is an apocalyptic number.

It is an amenable number.

10102100101061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102100101061 is an equidigital number, since it uses as much as digits as its factorization.

10102100101061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10102100101061 its reverse (16010100120101), we get a palindrome (26112200221162).

The spelling of 10102100101061 in words is "ten trillion, one hundred two billion, one hundred million, one hundred one thousand, sixty-one".