100110120001121 has 2 divisors, whose sum is σ = 100110120001122. Its totient is φ = 100110120001120.

The previous prime is 100110120001081. The next prime is 100110120001141. The reversal of 100110120001121 is 121100021011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74148649343521 + 25961470657600 = 8610961^2 + 5095240^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110120001121 - 2⁶ = 100110120001057 is a prime.

It is a super-2 number, since 2×100110120001121² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100110120001141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055060000560 + 50055060000561.

It is an arithmetic number, because the mean of its divisors is an integer number (50055060000561).

Almost surely, 2^{100110120001121} is an apocalyptic number.

It is an amenable number.

100110120001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110120001121 is an equidigital number, since it uses as much as digits as its factorization.

100110120001121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100110120001121 its reverse (121100021011001), we get a palindrome (221210141012122).

The spelling of 100110120001121 in words is "one hundred trillion, one hundred ten billion, one hundred twenty million, one thousand, one hundred twenty-one".