1002000110220 has 288 divisors, whose sum is σ = 3160075097088. Its totient is φ = 256789771776.

The previous prime is 1002000110203. The next prime is 1002000110249. The reversal of 1002000110220 is 220110002001.

1002000110220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

1002000110220 is a modest number, since divided by 110220 gives 10020 as remainder.

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, 181289097 + ... + 181294623.

It is an arithmetic number, because the mean of its divisors is an integer number (10972482976).

Almost surely, 2^{1002000110220} is an apocalyptic number.

1002000110220 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 1002000110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580037548544).

1002000110220 is an abundant number, since it is smaller than the sum of its proper divisors (2158074986868).

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

1002000110220 is a wasteful number, since it uses less digits than its factorization.

1002000110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5904 counting only the distinct ones).

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

Adding to 1002000110220 its reverse (220110002001), we get a palindrome (1222110112221).

The spelling of 1002000110220 in words is "one trillion, two billion, one hundred ten thousand, two hundred twenty".