100121121121123 has 2 divisors, whose sum is σ = 100121121121124. Its totient is φ = 100121121121122.

The previous prime is 100121121120991. The next prime is 100121121121141. The reversal of 100121121121123 is 321121121121001.

It is a strong prime.

It is an emirp because it is prime and its reverse (321121121121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100121121121123 - 2³⁷ = 99983682167651 is a prime.

It is a super-2 number, since 2×100121121121123² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100121121121123.

It is not a weakly prime, because it can be changed into another prime (100121121121183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060560560561 + 50060560560562.

It is an arithmetic number, because the mean of its divisors is an integer number (50060560560562).

Almost surely, 2^{100121121121123} is an apocalyptic number.

100121121121123 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121121121123 is an equidigital number, since it uses as much as digits as its factorization.

100121121121123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 19.

Adding to 100121121121123 its reverse (321121121121001), we get a palindrome (421242242242124).

The spelling of 100121121121123 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-three".