1002210011100 has 360 divisors, whose sum is σ = 3386554340400. Its totient is φ = 256062643200.

The previous prime is 1002210011087. The next prime is 1002210011119. The reversal of 1002210011100 is 11100122001.

It is a happy number.

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

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30755616 + ... + 30788184.

It is an arithmetic number, because the mean of its divisors is an integer number (9407095390).

Almost surely, 2^{1002210011100} is an apocalyptic number.

1002210011100 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 1002210011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693277170200).

1002210011100 is an abundant number, since it is smaller than the sum of its proper divisors (2384344329300).

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

1002210011100 is a wasteful number, since it uses less digits than its factorization.

1002210011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32755 (or 32739 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002210011100 its reverse (11100122001), we get a palindrome (1013310133101).

The spelling of 1002210011100 in words is "one trillion, two billion, two hundred ten million, eleven thousand, one hundred".