100010100101123 has 2 divisors, whose sum is σ = 100010100101124. Its totient is φ = 100010100101122.

The previous prime is 100010100101111. The next prime is 100010100101143. The reversal of 100010100101123 is 321101001010001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100010100101123 - 2³⁰ = 100009026359299 is a prime.

It is a super-2 number, since 2×100010100101123² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100010100101143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050050561 + 50005050050562.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050050562).

Almost surely, 2^{100010100101123} is an apocalyptic number.

100010100101123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100101123 is an equidigital number, since it uses as much as digits as its factorization.

100010100101123 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 100010100101123 its reverse (321101001010001), we get a palindrome (421111101111124).

The spelling of 100010100101123 in words is "one hundred trillion, ten billion, one hundred million, one hundred one thousand, one hundred twenty-three".