10001122010220 has 192 divisors, whose sum is σ = 30643944468480. Its totient is φ = 2416974278400.

The previous prime is 10001122010219. The next prime is 10001122010221. The reversal of 10001122010220 is 2201022110001.

It is an interprime number because it is at equal distance from previous prime (10001122010219) and next prime (10001122010221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10001122010196 and 10001122010205.

It is not an unprimeable number, because it can be changed into a prime (10001122010221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100107875 + ... + 1100116965.

It is an arithmetic number, because the mean of its divisors is an integer number (159603877440).

Almost surely, 2^{10001122010220} is an apocalyptic number.

10001122010220 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 10001122010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321972234240).

10001122010220 is an abundant number, since it is smaller than the sum of its proper divisors (20642822458260).

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

10001122010220 is a wasteful number, since it uses less digits than its factorization.

10001122010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001122010220 its reverse (2201022110001), we get a palindrome (12202144120221).

It can be divided in two parts, 10001 and 122010220, that added together give a palindrome (122020221).

The spelling of 10001122010220 in words is "ten trillion, one billion, one hundred twenty-two million, ten thousand, two hundred twenty".