21110110000100 has 288 divisors, whose sum is σ = 52265024824320. Its totient is φ = 7334066880000.

The previous prime is 21110110000033. The next prime is 21110110000103. The reversal of 21110110000100 is 100001101112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21110110000103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396489281 + ... + 396542519.

It is an arithmetic number, because the mean of its divisors is an integer number (181475780640).

Almost surely, 2^{21110110000100} is an apocalyptic number.

21110110000100 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 21110110000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26132512412160).

21110110000100 is an abundant number, since it is smaller than the sum of its proper divisors (31154914824220).

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

21110110000100 is a wasteful number, since it uses less digits than its factorization.

21110110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53491 (or 53484 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 21110110000100 its reverse (100001101112), we get a palindrome (21210111101212).

It can be divided in two parts, 211101 and 10000100, that added together give a palindrome (10211201).

The spelling of 21110110000100 in words is "twenty-one trillion, one hundred ten billion, one hundred ten million, one hundred", and thus it is an aban number.