11101220122100 has 18 divisors (see below), whose sum is σ = 24089647665174. Its totient is φ = 4440488048800.

The previous prime is 11101220122099. The next prime is 11101220122141. The reversal of 11101220122100 is 122102210111.

It can be written as a sum of positive squares in 3 ways, for example, as 503708156176 + 10597511965924 = 709724^2 + 3255382^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55506100511 + ... + 55506100710.

Almost surely, 2^{11101220122100} is an apocalyptic number.

11101220122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101220122100 is an abundant number, since it is smaller than the sum of its proper divisors (12988427543074).

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

11101220122100 is a wasteful number, since it uses less digits than its factorization.

11101220122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111012201235 (or 111012201228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11101220122100 its reverse (122102210111), we get a palindrome (11223322332211).

The spelling of 11101220122100 in words is "eleven trillion, one hundred one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred".