120121100220100 has 108 divisors (see below), whose sum is σ = 304314637666116. Its totient is φ = 41035696692480.

The previous prime is 120121100220059. The next prime is 120121100220131. The reversal of 120121100220100 is 1022001121021.

It can be written as a sum of positive squares in 6 ways, for example, as 47044042805956 + 73077057414144 = 6858866^2 + 8548512^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42892719 + ... + 45607318.

Almost surely, 2^{120121100220100} is an apocalyptic number.

120121100220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121100220100 is an abundant number, since it is smaller than the sum of its proper divisors (184193537446016).

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

120121100220100 is a wasteful number, since it uses less digits than its factorization.

120121100220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88500342 (or 88500328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120121100220100 its reverse (1022001121021), we get a palindrome (121143101341121).

The spelling of 120121100220100 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred million, two hundred twenty thousand, one hundred".