220101022100120 has 96 divisors (see below), whose sum is σ = 576101625821280. Its totient is φ = 75460471188480.

The previous prime is 220101022100107. The next prime is 220101022100129. The reversal of 220101022100120 is 21001220101022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 220101022100095 and 220101022100104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101022100129) 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, 52401200 + ... + 56445440.

It is an arithmetic number, because the mean of its divisors is an integer number (6001058602305).

Almost surely, 2^{220101022100120} is an apocalyptic number.

220101022100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101022100120 is an abundant number, since it is smaller than the sum of its proper divisors (356000603721160).

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

220101022100120 is a wasteful number, since it uses less digits than its factorization.

220101022100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072033 (or 4072022 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220101022100120 its reverse (21001220101022), we get a palindrome (241102242201142).

The spelling of 220101022100120 in words is "two hundred twenty trillion, one hundred one billion, twenty-two million, one hundred thousand, one hundred twenty".