11013222122100 has 216 divisors, whose sum is σ = 38534326582752. Its totient is φ = 2607781881600.

The previous prime is 11013222122087. The next prime is 11013222122167. The reversal of 11013222122100 is 122122231011.

11013222122100 is a `hidden beast` number, since 1 + 101 + 322 + 21 + 221 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 12509727 + ... + 13361126.

Almost surely, 2^{11013222122100} is an apocalyptic number.

11013222122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11013222122100 is an abundant number, since it is smaller than the sum of its proper divisors (27521104460652).

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

11013222122100 is a wasteful number, since it uses less digits than its factorization.

11013222122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25870927 (or 25870917 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11013222122100 its reverse (122122231011), we get a palindrome (11135344353111).

The spelling of 11013222122100 in words is "eleven trillion, thirteen billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".