101000212123 has 2 divisors, whose sum is σ = 101000212124. Its totient is φ = 101000212122.

The previous prime is 101000212091. The next prime is 101000212207. The reversal of 101000212123 is 321212000101.

It is a weak prime.

It is an emirp because it is prime and its reverse (321212000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000212123 - 2⁵ = 101000212091 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000216123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500106061 + 50500106062.

It is an arithmetic number, because the mean of its divisors is an integer number (50500106062).

Almost surely, 2^101000212123 is an apocalyptic number.

101000212123 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000212123 is an equidigital number, since it uses as much as digits as its factorization.

101000212123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 101000212123 its reverse (321212000101), we get a palindrome (422212212224).

The spelling of 101000212123 in words is "one hundred one billion, two hundred twelve thousand, one hundred twenty-three".