21112211220100 has 144 divisors (see below), whose sum is σ = 61511830240896. Its totient is φ = 6074242560000.

The previous prime is 21112211220073. The next prime is 21112211220109. The reversal of 21112211220100 is 102211221112.

It is not an unprimeable number, because it can be changed into a prime (21112211220109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105355501 + ... + 105555700.

It is an arithmetic number, because the mean of its divisors is an integer number (427165487784).

Almost surely, 2^{21112211220100} is an apocalyptic number.

21112211220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112211220100 is an abundant number, since it is smaller than the sum of its proper divisors (40399619020796).

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

21112211220100 is a wasteful number, since it uses less digits than its factorization.

21112211220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210911246 (or 210911239 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21112211220100 its reverse (102211221112), we get a palindrome (21214422441212).

The spelling of 21112211220100 in words is "twenty-one trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty thousand, one hundred".