220122120010100 has 144 divisors (see below), whose sum is σ = 595636116848640. Its totient is φ = 68597311459200.

The previous prime is 220122120010061. The next prime is 220122120010109. The reversal of 220122120010100 is 1010021221022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122120010109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40885517 + ... + 45955083.

It is an arithmetic number, because the mean of its divisors is an integer number (4136361922560).

Almost surely, 2^{220122120010100} is an apocalyptic number.

220122120010100 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 220122120010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297818058424320).

220122120010100 is an abundant number, since it is smaller than the sum of its proper divisors (375513996838540).

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

220122120010100 is a wasteful number, since it uses less digits than its factorization.

220122120010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5075238 (or 5075231 counting only the distinct ones).

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

Adding to 220122120010100 its reverse (1010021221022), we get a palindrome (221132141231122).

The spelling of 220122120010100 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twenty million, ten thousand, one hundred".