120221221020100 has 72 divisors (see below), whose sum is σ = 265311097440480. Its totient is φ = 47271762865920.

The previous prime is 120221221020077. The next prime is 120221221020101. The reversal of 120221221020100 is 1020122122021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120221221020101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174218952 + ... + 174907648.

It is an arithmetic number, because the mean of its divisors is an integer number (3684876353340).

Almost surely, 2^{120221221020100} is an apocalyptic number.

120221221020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221221020100 is an abundant number, since it is smaller than the sum of its proper divisors (145089876420380).

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

120221221020100 is a wasteful number, since it uses less digits than its factorization.

120221221020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718357 (or 718350 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120221221020100 its reverse (1020122122021), we get a palindrome (121241343142121).

The spelling of 120221221020100 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, twenty thousand, one hundred".