21110001112100 has 72 divisors (see below), whose sum is σ = 48529152685440. Its totient is φ = 7943063800320.

The previous prime is 21110001112093. The next prime is 21110001112127. The reversal of 21110001112100 is 121110001112.

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, 110024 + ... + 6498623.

It is an arithmetic number, because the mean of its divisors is an integer number (674016009520).

Almost surely, 2^{21110001112100} is an apocalyptic number.

21110001112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110001112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24264576342720).

21110001112100 is an abundant number, since it is smaller than the sum of its proper divisors (27419151573340).

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

21110001112100 is a wasteful number, since it uses less digits than its factorization.

21110001112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6610557 (or 6610550 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21110001112100 its reverse (121110001112), we get a palindrome (21231111113212).

The spelling of 21110001112100 in words is "twenty-one trillion, one hundred ten billion, one million, one hundred twelve thousand, one hundred".