1002022021110 has 512 divisors, whose sum is σ = 2910398294016. Its totient is φ = 218050560000.

The previous prime is 1002022021103. The next prime is 1002022021151. The reversal of 1002022021110 is 111202202001.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1831849857 + ... + 1831850403.

It is an arithmetic number, because the mean of its divisors is an integer number (5684371668).

Almost surely, 2^{1002022021110} is an apocalyptic number.

1002022021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1001010×1001011.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002022021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455199147008).

1002022021110 is an abundant number, since it is smaller than the sum of its proper divisors (1908376272906).

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

1002022021110 is a wasteful number, since it uses less digits than its factorization.

1002022021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800.

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

Adding to 1002022021110 its reverse (111202202001), we get a palindrome (1113224223111).

The spelling of 1002022021110 in words is "one trillion, two billion, twenty-two million, twenty-one thousand, one hundred ten".