10102101100061 has 2 divisors, whose sum is σ = 10102101100062. Its totient is φ = 10102101100060.

The previous prime is 10102101099977. The next prime is 10102101100073. The reversal of 10102101100061 is 16000110120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10099207305625 + 2893794436 = 3177925^2 + 53794^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10102101100061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102101100081) 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, 5051050550030 + 5051050550031.

It is an arithmetic number, because the mean of its divisors is an integer number (5051050550031).

Almost surely, 2^{10102101100061} is an apocalyptic number.

It is an amenable number.

10102101100061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102101100061 is an equidigital number, since it uses as much as digits as its factorization.

10102101100061 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 10102101100061 its reverse (16000110120101), we get a palindrome (26102211220162).

The spelling of 10102101100061 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred thousand, sixty-one".