220000100210000 has 200 divisors, whose sum is σ = 581596205814624. Its totient is φ = 79926799680000.

The previous prime is 220000100209963. The next prime is 220000100210069. The reversal of 220000100210000 is 12001000022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 220000100210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119315087 + ... + 121144913.

Almost surely, 2^{220000100210000} is an apocalyptic number.

220000100210000 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 220000100210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290798102907312).

220000100210000 is an abundant number, since it is smaller than the sum of its proper divisors (361596105604624).

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

220000100210000 is a wasteful number, since it uses less digits than its factorization.

220000100210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830959 (or 1830938 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 220000100210000 its reverse (12001000022), we get a palindrome (220012101210022).

The spelling of 220000100210000 in words is "two hundred twenty trillion, one hundred million, two hundred ten thousand".