220102211220100 has 144 divisors (see below), whose sum is σ = 552582780563520. Its totient is φ = 75207400243200.

The previous prime is 220102211220019. The next prime is 220102211220113. The reversal of 220102211220100 is 1022112201022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2067892 + ... + 21082708.

It is an arithmetic number, because the mean of its divisors is an integer number (3837380420580).

Almost surely, 2^{220102211220100} is an apocalyptic number.

220102211220100 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 220102211220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276291390281760).

220102211220100 is an abundant number, since it is smaller than the sum of its proper divisors (332480569343420).

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

220102211220100 is a wasteful number, since it uses less digits than its factorization.

220102211220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19015478 (or 19015471 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 220102211220100 its reverse (1022112201022), we get a palindrome (221124323421122).

It can be divided in two parts, 2 and 20102211220100, that added together give a palindrome (20102211220102).

The spelling of 220102211220100 in words is "two hundred twenty trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, one hundred".