220122020101000 has 128 divisors (see below), whose sum is σ = 542252863152000. Its totient is φ = 83405803104000.

The previous prime is 220122020100959. The next prime is 220122020101031. The reversal of 220122020101000 is 101020221022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179718666 + ... + 180939334.

It is an arithmetic number, because the mean of its divisors is an integer number (4236350493375).

Almost surely, 2^{220122020101000} is an apocalyptic number.

220122020101000 is a gapful number since it is divisible by the number (20) 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 220122020101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271126431576000).

220122020101000 is an abundant number, since it is smaller than the sum of its proper divisors (322130843051000).

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

220122020101000 is a wasteful number, since it uses less digits than its factorization.

220122020101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230200 (or 1230186 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 220122020101000 its reverse (101020221022), we get a palindrome (220223040322022).

The spelling of 220122020101000 in words is "two hundred twenty trillion, one hundred twenty-two billion, twenty million, one hundred one thousand".