100121101122181 has 2 divisors, whose sum is σ = 100121101122182. Its totient is φ = 100121101122180.

The previous prime is 100121101122083. The next prime is 100121101122271. The reversal of 100121101122181 is 181221101121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84835612890625 + 15285488231556 = 9210625^2 + 3909666^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121101122181 - 2¹⁹ = 100121100597893 is a prime.

It is a super-2 number, since 2×100121101122181² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121101152181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060550561090 + 50060550561091.

It is an arithmetic number, because the mean of its divisors is an integer number (50060550561091).

Almost surely, 2^{100121101122181} is an apocalyptic number.

It is an amenable number.

100121101122181 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121101122181 is an equidigital number, since it uses as much as digits as its factorization.

100121101122181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 22.

Adding to 100121101122181 its reverse (181221101121001), we get a palindrome (281342202243182).

The spelling of 100121101122181 in words is "one hundred trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, one hundred eighty-one".