1102210002000 has 480 divisors, whose sum is σ = 4022787525120. Its totient is φ = 280740556800.

The previous prime is 1102210001999. The next prime is 1102210002031. The reversal of 1102210002000 is 2000122011.

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

It is a congruent number.

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, 380464552 + ... + 380467448.

It is an arithmetic number, because the mean of its divisors is an integer number (8380807344).

Almost surely, 2^{1102210002000} is an apocalyptic number.

1102210002000 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 1102210002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011393762560).

1102210002000 is an abundant number, since it is smaller than the sum of its proper divisors (2920577523120).

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

1102210002000 is a wasteful number, since it uses less digits than its factorization.

1102210002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3849 counting only the distinct ones).

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

Adding to 1102210002000 its reverse (2000122011), we get a palindrome (1104210124011).

The spelling of 1102210002000 in words is "one trillion, one hundred two billion, two hundred ten million, two thousand".