1000010021220 has 864 divisors, whose sum is σ = 3859974518400. Its totient is φ = 208122421248.

The previous prime is 1000010021203. The next prime is 1000010021267. The reversal of 1000010021220 is 221200100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1686357244 + ... + 1686357836.

It is an arithmetic number, because the mean of its divisors is an integer number (4467563100).

Almost surely, 2^{1000010021220} is an apocalyptic number.

1000010021220 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 1000010021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929987259200).

1000010021220 is an abundant number, since it is smaller than the sum of its proper divisors (2859964497180).

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

1000010021220 is a wasteful number, since it uses less digits than its factorization.

1000010021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000010021220 its reverse (221200100001), we get a palindrome (1221210121221).

The spelling of 1000010021220 in words is "one trillion, ten million, twenty-one thousand, two hundred twenty".