121211111201101 has 32 divisors (see below), whose sum is σ = 131488092288000. Its totient is φ = 111381809235840.

The previous prime is 121211111201099. The next prime is 121211111201111. The reversal of 121211111201101 is 101102111112121.

It is a cyclic number.

It is not a de Polignac number, because 121211111201101 - 2¹ = 121211111201099 is a prime.

It is a super-2 number, since 2×121211111201101² (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 (121211111201111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54575706 + ... + 56753236.

It is an arithmetic number, because the mean of its divisors is an integer number (4109002884000).

Almost surely, 2^{121211111201101} is an apocalyptic number.

It is an amenable number.

121211111201101 is a deficient number, since it is larger than the sum of its proper divisors (10276981086899).

121211111201101 is a wasteful number, since it uses less digits than its factorization.

121211111201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178289.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 121211111201101 its reverse (101102111112121), we get a palindrome (222313222313222).

The spelling of 121211111201101 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred eleven million, two hundred one thousand, one hundred one".