121102122120 has 192 divisors, whose sum is σ = 428930873280. Its totient is φ = 27267254784.

The previous prime is 121102122107. The next prime is 121102122217. The reversal of 121102122120 is 21221201121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121102122120.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 240262 + ... + 547658.

It is an arithmetic number, because the mean of its divisors is an integer number (2234014965).

Almost surely, 2^121102122120 is an apocalyptic number.

121102122120 is a gapful number since it is divisible by the number (10) 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 121102122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214465436640).

121102122120 is an abundant number, since it is smaller than the sum of its proper divisors (307828751160).

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

121102122120 is a wasteful number, since it uses less digits than its factorization.

121102122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307492 (or 307481 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121102122120 its reverse (21221201121), we get a palindrome (142323323241).

The spelling of 121102122120 in words is "one hundred twenty-one billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".