11021221100100 has 72 divisors (see below), whose sum is σ = 32987654904960. Its totient is φ = 2837647729280.

The previous prime is 11021221100081. The next prime is 11021221100137. The reversal of 11021221100100 is 100112212011.

11021221100100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11021221100100³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 633394812 + ... + 633412211.

It is an arithmetic number, because the mean of its divisors is an integer number (458161873680).

Almost surely, 2^{11021221100100} is an apocalyptic number.

11021221100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11021221100100 is an abundant number, since it is smaller than the sum of its proper divisors (21966433804860).

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

11021221100100 is a wasteful number, since it uses less digits than its factorization.

11021221100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266807069 (or 1266807062 counting only the distinct ones).

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

Adding to 11021221100100 its reverse (100112212011), we get a palindrome (11121333312111).

The spelling of 11021221100100 in words is "eleven trillion, twenty-one billion, two hundred twenty-one million, one hundred thousand, one hundred".