100101001001123 has 2 divisors, whose sum is σ = 100101001001124. Its totient is φ = 100101001001122.

The previous prime is 100101001001083. The next prime is 100101001001137. The reversal of 100101001001123 is 321100100101001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100101001001123 - 2⁸ = 100101001000867 is a prime.

It is a super-2 number, since 2×100101001001123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100101001001143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050500500561 + 50050500500562.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500500562).

Almost surely, 2^{100101001001123} is an apocalyptic number.

100101001001123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101001001123 is an equidigital number, since it uses as much as digits as its factorization.

100101001001123 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100101001001123 its reverse (321100100101001), we get a palindrome (421201101102124).

The spelling of 100101001001123 in words is "one hundred trillion, one hundred one billion, one million, one thousand, one hundred twenty-three".