120102202001120 has 192 divisors, whose sum is σ = 291419556986880. Its totient is φ = 46756839168000.

The previous prime is 120102202001039. The next prime is 120102202001143. The reversal of 120102202001120 is 21100202201021.

It is a junction number, because it is equal to n+sod(n) for n = 120102202001095 and 120102202001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581361845 + ... + 581568395.

It is an arithmetic number, because the mean of its divisors is an integer number (1517810192640).

Almost surely, 2^{120102202001120} is an apocalyptic number.

120102202001120 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 120102202001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145709778493440).

120102202001120 is an abundant number, since it is smaller than the sum of its proper divisors (171317354985760).

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

120102202001120 is a wasteful number, since it uses less digits than its factorization.

120102202001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207169 (or 207161 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120102202001120 its reverse (21100202201021), we get a palindrome (141202404202141).

The spelling of 120102202001120 in words is "one hundred twenty trillion, one hundred two billion, two hundred two million, one thousand, one hundred twenty".