120221212220100 has 108 divisors (see below), whose sum is σ = 376912190802420. Its totient is φ = 32051717606400.

The previous prime is 120221212220077. The next prime is 120221212220111. The reversal of 120221212220100 is 1022212122021.

It is a happy number.

120221212220100 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 212 + 220 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 47886289280064 + 72334922940036 = 6919992^2 + 8504994^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 11180361 + ... + 19116560.

It is an arithmetic number, because the mean of its divisors is an integer number (3489927692615).

Almost surely, 2^{120221212220100} is an apocalyptic number.

120221212220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120221212220100 is an abundant number, since it is smaller than the sum of its proper divisors (256690978582320).

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

120221212220100 is a wasteful number, since it uses less digits than its factorization.

120221212220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30301350 (or 30301340 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120221212220100 its reverse (1022212122021), we get a palindrome (121243424342121).

The spelling of 120221212220100 in words is "one hundred twenty trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, one hundred".