100111201110121 has 16 divisors (see below), whose sum is σ = 102769178722560. Its totient is φ = 97488044933760.

The previous prime is 100111201110059. The next prime is 100111201110191. The reversal of 100111201110121 is 121011102111001.

It is a cyclic number.

It is not a de Polignac number, because 100111201110121 - 2⁹ = 100111201109609 is a prime.

It is a super-2 number, since 2×100111201110121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111201110191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363938991 + ... + 364213963.

It is an arithmetic number, because the mean of its divisors is an integer number (6423073670160).

Almost surely, 2^{100111201110121} is an apocalyptic number.

It is an amenable number.

100111201110121 is a deficient number, since it is larger than the sum of its proper divisors (2657977612439).

100111201110121 is an equidigital number, since it uses as much as digits as its factorization.

100111201110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338256.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 100111201110121 its reverse (121011102111001), we get a palindrome (221122303221122).

The spelling of 100111201110121 in words is "one hundred trillion, one hundred eleven billion, two hundred one million, one hundred ten thousand, one hundred twenty-one".