121112220101101 has 16 divisors (see below), whose sum is σ = 123829219768320. Its totient is φ = 118418797067760.

The previous prime is 121112220101083. The next prime is 121112220101177. The reversal of 121112220101101 is 101101022211121.

It is a cyclic number.

It is not a de Polignac number, because 121112220101101 - 2¹⁹ = 121112219576813 is a prime.

It is a super-2 number, since 2×121112220101101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121112220101501) 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, 3606496 + ... + 15975958.

It is an arithmetic number, because the mean of its divisors is an integer number (7739326235520).

Almost surely, 2^{121112220101101} is an apocalyptic number.

It is an amenable number.

121112220101101 is a deficient number, since it is larger than the sum of its proper divisors (2716999667219).

121112220101101 is a wasteful number, since it uses less digits than its factorization.

121112220101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12370416.

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

Adding to 121112220101101 its reverse (101101022211121), we get a palindrome (222213242312222).

The spelling of 121112220101101 in words is "one hundred twenty-one trillion, one hundred twelve billion, two hundred twenty million, one hundred one thousand, one hundred one".