102100200001061 has 2 divisors, whose sum is σ = 102100200001062. Its totient is φ = 102100200001060.

The previous prime is 102100200001027. The next prime is 102100200001091. The reversal of 102100200001061 is 160100002001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101941210400836 + 158989600225 = 10096594^2 + 398735^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100200001061 - 2¹⁰ = 102100200000037 is a prime.

It is a super-2 number, since 2×102100200001061² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102100200001001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050100000530 + 51050100000531.

It is an arithmetic number, because the mean of its divisors is an integer number (51050100000531).

Almost surely, 2^{102100200001061} is an apocalyptic number.

It is an amenable number.

102100200001061 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100200001061 is an equidigital number, since it uses as much as digits as its factorization.

102100200001061 is an evil number, because the sum of its binary digits is even.

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

Adding to 102100200001061 its reverse (160100002001201), we get a palindrome (262200202002262).

The spelling of 102100200001061 in words is "one hundred two trillion, one hundred billion, two hundred million, one thousand, sixty-one".