11002012022100 has 1152 divisors, whose sum is σ = 37629471559680. Its totient is φ = 2456616960000.

The previous prime is 11002012022083. The next prime is 11002012022149. The reversal of 11002012022100 is 122021020011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42809385172 + ... + 42809385428.

It is an arithmetic number, because the mean of its divisors is an integer number (32664471840).

Almost surely, 2^{11002012022100} is an apocalyptic number.

11002012022100 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 11002012022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814735779840).

11002012022100 is an abundant number, since it is smaller than the sum of its proper divisors (26627459537580).

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

11002012022100 is a wasteful number, since it uses less digits than its factorization.

11002012022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 554 counting only the distinct ones).

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

Adding to 11002012022100 its reverse (122021020011), we get a palindrome (11124033042111).

The spelling of 11002012022100 in words is "eleven trillion, two billion, twelve million, twenty-two thousand, one hundred".