10201101010123 has 2 divisors, whose sum is σ = 10201101010124. Its totient is φ = 10201101010122.

The previous prime is 10201101010081. The next prime is 10201101010147. The reversal of 10201101010123 is 32101010110201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10201101010123 - 2²⁹ = 10200564139211 is a prime.

It is not a weakly prime, because it can be changed into another prime (10201101010183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100550505061 + 5100550505062.

It is an arithmetic number, because the mean of its divisors is an integer number (5100550505062).

Almost surely, 2^{10201101010123} is an apocalyptic number.

10201101010123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201101010123 is an equidigital number, since it uses as much as digits as its factorization.

10201101010123 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 13.

Adding to 10201101010123 its reverse (32101010110201), we get a palindrome (42302111120324).

The spelling of 10201101010123 in words is "ten trillion, two hundred one billion, one hundred one million, ten thousand, one hundred twenty-three".