121101002201120 has 48 divisors (see below), whose sum is σ = 286256018841408. Its totient is φ = 48414174232320.

The previous prime is 121101002201111. The next prime is 121101002201129. The reversal of 121101002201120 is 21102200101121.

It is an interprime number because it is at equal distance from previous prime (121101002201111) and next prime (121101002201129).

It is a junction number, because it is equal to n+sod(n) for n = 121101002201095 and 121101002201104.

It is not an unprimeable number, because it can be changed into a prime (121101002201129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204599246 + ... + 205190285.

It is an arithmetic number, because the mean of its divisors is an integer number (5963667059196).

Almost surely, 2^{121101002201120} is an apocalyptic number.

121101002201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121101002201120 is an abundant number, since it is smaller than the sum of its proper divisors (165155016640288).

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

121101002201120 is a wasteful number, since it uses less digits than its factorization.

121101002201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409791393 (or 409791385 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 121101002201120 its reverse (21102200101121), we get a palindrome (142203202302241).

The spelling of 121101002201120 in words is "one hundred twenty-one trillion, one hundred one billion, two million, two hundred one thousand, one hundred twenty".