121120212121101 has 32 divisors (see below), whose sum is σ = 181378255127040. Its totient is φ = 79874851032000.

The previous prime is 121120212121063. The next prime is 121120212121121. The reversal of 121120212121101 is 101121212021121.

It is a happy number.

121120212121101 is a `hidden beast` number, since 1 + 211 + 20 + 212 + 121 + 101 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-121120212121101 is a prime.

It is a super-3 number, since 3×121120212121101³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120212121121) 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, 17125930 + ... + 23141691.

It is an arithmetic number, because the mean of its divisors is an integer number (5668070472720).

Almost surely, 2^{121120212121101} is an apocalyptic number.

It is an amenable number.

121120212121101 is a deficient number, since it is larger than the sum of its proper divisors (60258043005939).

121120212121101 is a wasteful number, since it uses less digits than its factorization.

121120212121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40268834 (or 40268828 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121120212121101 its reverse (101121212021121), we get a palindrome (222241424142222).

The spelling of 121120212121101 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred twelve million, one hundred twenty-one thousand, one hundred one".