121101201012112 has 40 divisors (see below), whose sum is σ = 248437989605016. Its totient is φ = 56988241330176.

The previous prime is 121101201012089. The next prime is 121101201012149. The reversal of 121101201012112 is 211210102101121.

It can be written as a sum of positive squares in 4 ways, for example, as 14725822955776 + 106375378056336 = 3837424^2 + 10313844^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26269468 + ... + 30533380.

Almost surely, 2^{121101201012112} is an apocalyptic number.

It is an amenable number.

121101201012112 is an abundant number, since it is smaller than the sum of its proper divisors (127336788592904).

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

121101201012112 is a wasteful number, since it uses less digits than its factorization.

121101201012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368355 (or 4368349 counting only the distinct ones).

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

Adding to 121101201012112 its reverse (211210102101121), we get a palindrome (332311303113233).

The spelling of 121101201012112 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred one million, twelve thousand, one hundred twelve".