121101031120 has 60 divisors (see below), whose sum is σ = 297158854500. Its totient is φ = 45890906112.

The previous prime is 121101031111. The next prime is 121101031123. The reversal of 121101031120 is 21130101121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63934133904 + 57166897216 = 252852^2 + 239096^2 .

It is a super-3 number, since 3×121101031120³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121101031120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101031123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2067745 + ... + 2125504.

It is an arithmetic number, because the mean of its divisors is an integer number (4952647575).

Almost surely, 2^121101031120 is an apocalyptic number.

121101031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101031120 is an abundant number, since it is smaller than the sum of its proper divisors (176057823380).

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

121101031120 is a wasteful number, since it uses less digits than its factorization.

121101031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193300 (or 4193275 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 121101031120 its reverse (21130101121), we get a palindrome (142231132241).

The spelling of 121101031120 in words is "one hundred twenty-one billion, one hundred one million, thirty-one thousand, one hundred twenty".