11002111220100 has 1152 divisors, whose sum is σ = 44968145854464. Its totient is φ = 2003097600000.

The previous prime is 11002111220077. The next prime is 11002111220101. The reversal of 11002111220100 is 102211120011.

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

It is not an unprimeable number, because it can be changed into a prime (11002111220101) by changing a digit.

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, 455543025 + ... + 455567175.

It is an arithmetic number, because the mean of its divisors is an integer number (39034848832).

Almost surely, 2^{11002111220100} is an apocalyptic number.

11002111220100 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 11002111220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22484072927232).

11002111220100 is an abundant number, since it is smaller than the sum of its proper divisors (33966034634364).

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

11002111220100 is a wasteful number, since it uses less digits than its factorization.

11002111220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24277 (or 24270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11002111220100 its reverse (102211120011), we get a palindrome (11104322340111).

It can be divided in two parts, 11002111 and 220100, that added together give a palindrome (11222211).

The spelling of 11002111220100 in words is "eleven trillion, two billion, one hundred eleven million, two hundred twenty thousand, one hundred".