11100020220100 has 108 divisors (see below), whose sum is σ = 28021163288580. Its totient is φ = 3805511942400.

The previous prime is 11100020220073. The next prime is 11100020220103. The reversal of 11100020220100 is 102202000111.

It can be written as a sum of positive squares in 6 ways, for example, as 4217404391424 + 6882615828676 = 2053632^2 + 2623474^2 .

It is a super-3 number, since 3×11100020220100³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11100020220103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108282870 + ... + 108385330.

It is an arithmetic number, because the mean of its divisors is an integer number (259455215635).

Almost surely, 2^{11100020220100} is an apocalyptic number.

11100020220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100020220100 is an abundant number, since it is smaller than the sum of its proper divisors (16921143068480).

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

11100020220100 is a wasteful number, since it uses less digits than its factorization.

11100020220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124598 (or 124584 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11100020220100 its reverse (102202000111), we get a palindrome (11202222220211).

The spelling of 11100020220100 in words is "eleven trillion, one hundred billion, twenty million, two hundred twenty thousand, one hundred".