120020101021100 has 288 divisors, whose sum is σ = 308215752929280. Its totient is φ = 39713022720000.

The previous prime is 120020101021057. The next prime is 120020101021103. The reversal of 120020101021100 is 1120101020021.

It is not an unprimeable number, because it can be changed into a prime (120020101021103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1035696362 + ... + 1035812238.

It is an arithmetic number, because the mean of its divisors is an integer number (1070193586560).

Almost surely, 2^{120020101021100} is an apocalyptic number.

120020101021100 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 120020101021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154107876464640).

120020101021100 is an abundant number, since it is smaller than the sum of its proper divisors (188195651908180).

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

120020101021100 is a wasteful number, since it uses less digits than its factorization.

120020101021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116329 (or 116322 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120020101021100 its reverse (1120101020021), we get a palindrome (121140202041121).

The spelling of 120020101021100 in words is "one hundred twenty trillion, twenty billion, one hundred one million, twenty-one thousand, one hundred".