121110010120 has 128 divisors (see below), whose sum is σ = 307172736000. Its totient is φ = 42575846400.

The previous prime is 121110010079. The next prime is 121110010127. The reversal of 121110010120 is 21010011121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 121110010097 and 121110010106.

It is not an unprimeable number, because it can be changed into a prime (121110010127) 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, 15231906 + ... + 15239854.

It is an arithmetic number, because the mean of its divisors is an integer number (2399787000).

Almost surely, 2^121110010120 is an apocalyptic number.

121110010120 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 121110010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153586368000).

121110010120 is an abundant number, since it is smaller than the sum of its proper divisors (186062725880).

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

121110010120 is a wasteful number, since it uses less digits than its factorization.

121110010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9119 (or 9115 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 121110010120 its reverse (21010011121), we get a palindrome (142120021241).

The spelling of 121110010120 in words is "one hundred twenty-one billion, one hundred ten million, ten thousand, one hundred twenty".