21112110012100 has 72 divisors (see below), whose sum is σ = 46020629491200. Its totient is φ = 8406680620800.

The previous prime is 21112110012047. The next prime is 21112110012121. The reversal of 21112110012100 is 121001121112.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28834341 + ... + 29557459.

It is an arithmetic number, because the mean of its divisors is an integer number (639175409600).

Almost surely, 2^{21112110012100} is an apocalyptic number.

21112110012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112110012100 is an abundant number, since it is smaller than the sum of its proper divisors (24908519479100).

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

21112110012100 is a wasteful number, since it uses less digits than its factorization.

21112110012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724453 (or 724446 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21112110012100 its reverse (121001121112), we get a palindrome (21233111133212).

The spelling of 21112110012100 in words is "twenty-one trillion, one hundred twelve billion, one hundred ten million, twelve thousand, one hundred".