121201101011112 has 128 divisors (see below), whose sum is σ = 313969724899200. Its totient is φ = 38942744988672.

The previous prime is 121201101011101. The next prime is 121201101011113. The reversal of 121201101011112 is 211110101102121.

It is a junction number, because it is equal to n+sod(n) for n = 121201101011091 and 121201101011100.

It is not an unprimeable number, because it can be changed into a prime (121201101011113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858509418 + ... + 1858574630.

It is an arithmetic number, because the mean of its divisors is an integer number (2452888475775).

Almost surely, 2^{121201101011112} is an apocalyptic number.

121201101011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121201101011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156984862449600).

121201101011112 is an abundant number, since it is smaller than the sum of its proper divisors (192768623888088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121201101011112 is a wasteful number, since it uses less digits than its factorization.

121201101011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69627 (or 69623 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 121201101011112 its reverse (211110101102121), we get a palindrome (332311202113233).

The spelling of 121201101011112 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred one million, eleven thousand, one hundred twelve".