21101223313100 has 72 divisors (see below), whose sum is σ = 52849163041248. Its totient is φ = 7163074368000.

The previous prime is 21101223313081. The next prime is 21101223313133. The reversal of 21101223313100 is 131332210112.

It is a happy number.

It is a super-2 number, since 2×21101223313100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149160017 + ... + 149301416.

Almost surely, 2^{21101223313100} is an apocalyptic number.

21101223313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101223313100 is an abundant number, since it is smaller than the sum of its proper divisors (31747939728148).

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

21101223313100 is a wasteful number, since it uses less digits than its factorization.

21101223313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298461555 (or 298461548 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 21101223313100 its reverse (131332210112), we get a palindrome (21232555523212).

The spelling of 21101223313100 in words is "twenty-one trillion, one hundred one billion, two hundred twenty-three million, three hundred thirteen thousand, one hundred".