120202202100120 has 384 divisors, whose sum is σ = 445069329661440. Its totient is φ = 25423425054720.

The previous prime is 120202202100119. The next prime is 120202202100131. The reversal of 120202202100120 is 21001202202021.

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 120202202100120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8430100 + ... + 17648540.

It is an arithmetic number, because the mean of its divisors is an integer number (1159034712660).

Almost surely, 2^{120202202100120} is an apocalyptic number.

120202202100120 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 120202202100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222534664830720).

120202202100120 is an abundant number, since it is smaller than the sum of its proper divisors (324867127561320).

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

120202202100120 is a wasteful number, since it uses less digits than its factorization.

120202202100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9218543 (or 9218520 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120202202100120 its reverse (21001202202021), we get a palindrome (141203404302141).

The spelling of 120202202100120 in words is "one hundred twenty trillion, two hundred two billion, two hundred two million, one hundred thousand, one hundred twenty".