10100002220 has 96 divisors (see below), whose sum is σ = 26577331200. Its totient is φ = 3132138240.

The previous prime is 10100002207. The next prime is 10100002247. The reversal of 10100002220 is 2220000101.

It is a junction number, because it is equal to n+sod(n) for n = 10100002198 and 10100002207.

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, 289982 + ... + 322938.

It is an arithmetic number, because the mean of its divisors is an integer number (276847200).

Almost surely, 2^10100002220 is an apocalyptic number.

10100002220 is a gapful number since it is divisible by the number (10) 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 10100002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288665600).

10100002220 is an abundant number, since it is smaller than the sum of its proper divisors (16477328980).

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

10100002220 is a wasteful number, since it uses less digits than its factorization.

10100002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33183 (or 33181 counting only the distinct ones).

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

Adding to 10100002220 its reverse (2220000101), we get a palindrome (12320002321).

The spelling of 10100002220 in words is "ten billion, one hundred million, two thousand, two hundred twenty".