21112002220100 has 72 divisors (see below), whose sum is σ = 50167897674048. Its totient is φ = 7647901148800.

The previous prime is 21112002220033. The next prime is 21112002220151. The reversal of 21112002220100 is 102220021112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36198779 + ... + 36777378.

It is an arithmetic number, because the mean of its divisors is an integer number (696776356584).

Almost surely, 2^{21112002220100} is an apocalyptic number.

21112002220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112002220100 is an abundant number, since it is smaller than the sum of its proper divisors (29055895453948).

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

21112002220100 is a wasteful number, since it uses less digits than its factorization.

21112002220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72976445 (or 72976438 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21112002220100 its reverse (102220021112), we get a palindrome (21214222241212).

The spelling of 21112002220100 in words is "twenty-one trillion, one hundred twelve billion, two million, two hundred twenty thousand, one hundred".