10000101211123 has 2 divisors, whose sum is σ = 10000101211124. Its totient is φ = 10000101211122.

The previous prime is 10000101211097. The next prime is 10000101211129. The reversal of 10000101211123 is 32111210100001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000101211123 is a prime.

It is a super-2 number, since 2×10000101211123² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10000101211129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000050605561 + 5000050605562.

It is an arithmetic number, because the mean of its divisors is an integer number (5000050605562).

Almost surely, 2^{10000101211123} is an apocalyptic number.

10000101211123 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000101211123 is an equidigital number, since it uses as much as digits as its factorization.

10000101211123 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 10000101211123 its reverse (32111210100001), we get a palindrome (42111311311124).

The spelling of 10000101211123 in words is "ten trillion, one hundred one million, two hundred eleven thousand, one hundred twenty-three".