10012220222220 has 288 divisors, whose sum is σ = 31629161491200. Its totient is φ = 2560523954688.

The previous prime is 10012220222209. The next prime is 10012220222231. The reversal of 10012220222220 is 2222202221001.

10012220222220 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 220 + 222 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (10012220222209) and next prime (10012220222231).

It is a super-2 number, since 2×10012220222220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10012220222193 and 10012220222202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2418992911 + ... + 2418997049.

It is an arithmetic number, because the mean of its divisors is an integer number (109823477400).

Almost surely, 2^{10012220222220} is an apocalyptic number.

10012220222220 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 10012220222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814580745600).

10012220222220 is an abundant number, since it is smaller than the sum of its proper divisors (21616941268980).

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

10012220222220 is a wasteful number, since it uses less digits than its factorization.

10012220222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7189 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10012220222220 its reverse (2222202221001), we get a palindrome (12234422443221).

The spelling of 10012220222220 in words is "ten trillion, twelve billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty".