120101021200 has 240 divisors, whose sum is σ = 302215156992. Its totient is φ = 45826560000.

The previous prime is 120101021171. The next prime is 120101021207. The reversal of 120101021200 is 2120101021.

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

It is not an unprimeable number, because it can be changed into a prime (120101021207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271108179 + ... + 271108621.

Almost surely, 2^120101021200 is an apocalyptic number.

120101021200 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 120101021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151107578496).

120101021200 is an abundant number, since it is smaller than the sum of its proper divisors (182114135792).

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

120101021200 is a wasteful number, since it uses less digits than its factorization.

120101021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120101021200 its reverse (2120101021), we get a palindrome (122221122221).

The spelling of 120101021200 in words is "one hundred twenty billion, one hundred one million, twenty-one thousand, two hundred".