120221001020100 has 144 divisors (see below), whose sum is σ = 359549926776320. Its totient is φ = 30982446950400.

The previous prime is 120221001020041. The next prime is 120221001020111. The reversal of 120221001020100 is 1020100122021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2000965 + ... + 15634764.

Almost surely, 2^{120221001020100} is an apocalyptic number.

120221001020100 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 120221001020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179774963388160).

120221001020100 is an abundant number, since it is smaller than the sum of its proper divisors (239328925756220).

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

120221001020100 is a wasteful number, since it uses less digits than its factorization.

120221001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17636510 (or 17636503 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120221001020100 its reverse (1020100122021), we get a palindrome (121241101142121).

The spelling of 120221001020100 in words is "one hundred twenty trillion, two hundred twenty-one billion, one million, twenty thousand, one hundred".