11021111100100 has 36 divisors (see below), whose sum is σ = 23984337842500. Its totient is φ = 4395812780160.

The previous prime is 11021111100091. The next prime is 11021111100149. The reversal of 11021111100100 is 100111112011.

It can be written as a sum of positive squares in 6 ways, for example, as 261241609924 + 10759869490176 = 511118^2 + 3280224^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157860675 + ... + 157930474.

Almost surely, 2^{11021111100100} is an apocalyptic number.

11021111100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021111100100 is an abundant number, since it is smaller than the sum of its proper divisors (12963226742400).

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

11021111100100 is a wasteful number, since it uses less digits than its factorization.

11021111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315791512 (or 315791505 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11021111100100 its reverse (100111112011), we get a palindrome (11121222212111).

The spelling of 11021111100100 in words is "eleven trillion, twenty-one billion, one hundred eleven million, one hundred thousand, one hundred".