10002111220 has 24 divisors (see below), whose sum is σ = 21018678408. Its totient is φ = 3998131200.

The previous prime is 10002111209. The next prime is 10002111221. The reversal of 10002111220 is 2211120001.

It can be written as a sum of positive squares in 4 ways, for example, as 2585112336 + 7416998884 = 50844^2 + 86122^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10002111197 and 10002111206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002111221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139221 + ... + 198460.

It is an arithmetic number, because the mean of its divisors is an integer number (875778267).

Almost surely, 2^10002111220 is an apocalyptic number.

10002111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002111220 is an abundant number, since it is smaller than the sum of its proper divisors (11016567188).

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

10002111220 is a wasteful number, since it uses less digits than its factorization.

10002111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339171 (or 339169 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002111220 its reverse (2211120001), we get a palindrome (12213231221).

The spelling of 10002111220 in words is "ten billion, two million, one hundred eleven thousand, two hundred twenty".