120221102100 has 144 divisors (see below), whose sum is σ = 383726064960. Its totient is φ = 28816972800.

The previous prime is 120221102039. The next prime is 120221102117. The reversal of 120221102100 is 1201122021.

120221102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120221102100² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89034 + ... + 498366.

It is an arithmetic number, because the mean of its divisors is an integer number (2664764340).

Almost surely, 2^120221102100 is an apocalyptic number.

120221102100 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 120221102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191863032480).

120221102100 is an abundant number, since it is smaller than the sum of its proper divisors (263504962860).

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

120221102100 is a wasteful number, since it uses less digits than its factorization.

120221102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409450 (or 409443 counting only the distinct ones).

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

Adding to 120221102100 its reverse (1201122021), we get a palindrome (121422224121).

The spelling of 120221102100 in words is "one hundred twenty billion, two hundred twenty-one million, one hundred two thousand, one hundred".