121112112101 has 8 divisors (see below), whose sum is σ = 121998226560. Its totient is φ = 120226209408.

The previous prime is 121112112067. The next prime is 121112112109. The reversal of 121112112101 is 101211211121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121112112101 - 2¹⁰ = 121112111077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203605 + ... + 1300341.

It is an arithmetic number, because the mean of its divisors is an integer number (15249778320).

Almost surely, 2^121112112101 is an apocalyptic number.

It is an amenable number.

121112112101 is a deficient number, since it is larger than the sum of its proper divisors (886114459).

121112112101 is an equidigital number, since it uses as much as digits as its factorization.

121112112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105883.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121112112101 its reverse (101211211121), we get a palindrome (222323323222).

It can be divided in two parts, 12111 and 2112101, that added together give a palindrome (2124212).

The spelling of 121112112101 in words is "one hundred twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred one".