220100034120 has 128 divisors (see below), whose sum is σ = 672685655040. Its totient is φ = 57601785600.

The previous prime is 220100034107. The next prime is 220100034139. The reversal of 220100034120 is 21430001022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220100034120.

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, 1430787 + ... + 1577133.

It is an arithmetic number, because the mean of its divisors is an integer number (5255356680).

Almost surely, 2^220100034120 is an apocalyptic number.

220100034120 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 220100034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336342827520).

220100034120 is an abundant number, since it is smaller than the sum of its proper divisors (452585620920).

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

220100034120 is a wasteful number, since it uses less digits than its factorization.

220100034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146595 (or 146591 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220100034120 its reverse (21430001022), we get a palindrome (241530035142).

The spelling of 220100034120 in words is "two hundred twenty billion, one hundred million, thirty-four thousand, one hundred twenty".