101112111220121 has 4 divisors (see below), whose sum is σ = 101112697342644. Its totient is φ = 101111525097600.

The previous prime is 101112111220073. The next prime is 101112111220163. The reversal of 101112111220121 is 121022111211101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 27969660163225 + 73142451056896 = 5288635^2 + 8552336^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112111220121 - 2³⁴ = 101094931350937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101112111220121.

It is not an unprimeable number, because it can be changed into a prime (101112111120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 292802420 + ... + 293147541.

It is an arithmetic number, because the mean of its divisors is an integer number (25278174335661).

Almost surely, 2^{101112111220121} is an apocalyptic number.

It is an amenable number.

101112111220121 is a deficient number, since it is larger than the sum of its proper divisors (586122523).

101112111220121 is an equidigital number, since it uses as much as digits as its factorization.

101112111220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586122522.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101112111220121 its reverse (121022111211101), we get a palindrome (222134222431222).

The spelling of 101112111220121 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty-one".