100211101121 has 2 divisors, whose sum is σ = 100211101122. Its totient is φ = 100211101120.

The previous prime is 100211101097. The next prime is 100211101127. The reversal of 100211101121 is 121101112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53494601521 + 46716499600 = 231289^2 + 216140^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211101121 - 2³⁰ = 99137359297 is a prime.

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 (100211101127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105550560 + 50105550561.

It is an arithmetic number, because the mean of its divisors is an integer number (50105550561).

Almost surely, 2^100211101121 is an apocalyptic number.

It is an amenable number.

100211101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211101121 is an equidigital number, since it uses as much as digits as its factorization.

100211101121 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 100211101121 its reverse (121101112001), we get a palindrome (221312213122).

The spelling of 100211101121 in words is "one hundred billion, two hundred eleven million, one hundred one thousand, one hundred twenty-one".