10220101101073 has 2 divisors, whose sum is σ = 10220101101074. Its totient is φ = 10220101101072.

The previous prime is 10220101101011. The next prime is 10220101101137. The reversal of 10220101101073 is 37010110102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8592302775169 + 1627798325904 = 2931263^2 + 1275852^2 .

It is a cyclic number.

It is not a de Polignac number, because 10220101101073 - 2³³ = 10211511166481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10220101101073.

It is not a weakly prime, because it can be changed into another prime (10220101101673) 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, 5110050550536 + 5110050550537.

It is an arithmetic number, because the mean of its divisors is an integer number (5110050550537).

Almost surely, 2^{10220101101073} is an apocalyptic number.

It is an amenable number.

10220101101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10220101101073 is an equidigital number, since it uses as much as digits as its factorization.

10220101101073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 10220101101073 its reverse (37010110102201), we get a palindrome (47230211203274).

The spelling of 10220101101073 in words is "ten trillion, two hundred twenty billion, one hundred one million, one hundred one thousand, seventy-three".