11221012020100 has 18 divisors (see below), whose sum is σ = 24349596083834. Its totient is φ = 4488404808000.

The previous prime is 11221012020089. The next prime is 11221012020109. The reversal of 11221012020100 is 102021012211.

11221012020100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 161835634944 + 11059176385156 = 402288^2 + 3325534^2 .

It is a super-2 number, since 2×11221012020100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11221012020109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56105060001 + ... + 56105060200.

Almost surely, 2^{11221012020100} is an apocalyptic number.

11221012020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221012020100 is an abundant number, since it is smaller than the sum of its proper divisors (13128584063734).

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

11221012020100 is a wasteful number, since it uses less digits than its factorization.

11221012020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112210120215 (or 112210120208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11221012020100 its reverse (102021012211), we get a palindrome (11323033032311).

The spelling of 11221012020100 in words is "eleven trillion, two hundred twenty-one billion, twelve million, twenty thousand, one hundred".