21110001110100 has 216 divisors, whose sum is σ = 75654813282048. Its totient is φ = 4822967404800.

The previous prime is 21110001110071. The next prime is 21110001110117. The reversal of 21110001110100 is 101110001112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13237957 + ... + 14746643.

Almost surely, 2^{21110001110100} is an apocalyptic number.

21110001110100 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 21110001110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37827406641024).

21110001110100 is an abundant number, since it is smaller than the sum of its proper divisors (54544812171948).

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

21110001110100 is a wasteful number, since it uses less digits than its factorization.

21110001110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510935 (or 1510925 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 21110001110100 its reverse (101110001112), we get a palindrome (21211111111212).

The spelling of 21110001110100 in words is "twenty-one trillion, one hundred ten billion, one million, one hundred ten thousand, one hundred".