11201221020100 has 36 divisors (see below), whose sum is σ = 24705119292868. Its totient is φ = 4407037776000.

The previous prime is 11201221020089. The next prime is 11201221020107. The reversal of 11201221020100 is 102012210211.

It can be written as a sum of positive squares in 6 ways, for example, as 6073967269764 + 5127253750336 = 2464542^2 + 2264344^2 .

It is a super-2 number, since 2×11201221020100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11201221020107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918126771 + ... + 918138970.

Almost surely, 2^{11201221020100} is an apocalyptic number.

11201221020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201221020100 is an abundant number, since it is smaller than the sum of its proper divisors (13503898272768).

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

11201221020100 is a wasteful number, since it uses less digits than its factorization.

11201221020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836265816 (or 1836265809 counting only the distinct ones).

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

Adding to 11201221020100 its reverse (102012210211), we get a palindrome (11303233230311).

The spelling of 11201221020100 in words is "eleven trillion, two hundred one billion, two hundred twenty-one million, twenty thousand, one hundred".