100101001123 has 2 divisors, whose sum is σ = 100101001124. Its totient is φ = 100101001122.

The previous prime is 100101001103. The next prime is 100101001139. The reversal of 100101001123 is 321100101001.

It is a strong prime.

It is an emirp because it is prime and its reverse (321100101001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101001123 is a prime.

It is a super-2 number, since 2×100101001123² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100101001103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050500561 + 50050500562.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500562).

Almost surely, 2^100101001123 is an apocalyptic number.

100101001123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101001123 is an equidigital number, since it uses as much as digits as its factorization.

100101001123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 100101001123 its reverse (321100101001), we get a palindrome (421201102124).

The spelling of 100101001123 in words is "one hundred billion, one hundred one million, one thousand, one hundred twenty-three".