21011101000110 has 256 divisors, whose sum is σ = 61634523525120. Its totient is φ = 5061007319040.

The previous prime is 21011101000069. The next prime is 21011101000129. The reversal of 21011101000110 is 1100010111012.

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

It is a junction number, because it is equal to n+sod(n) for n = 21011101000092 and 21011101000101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1531079709 + ... + 1531093431.

It is an arithmetic number, because the mean of its divisors is an integer number (240759857520).

Almost surely, 2^{21011101000110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011101000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30817261762560).

21011101000110 is an abundant number, since it is smaller than the sum of its proper divisors (40623422525010).

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

21011101000110 is a wasteful number, since it uses less digits than its factorization.

21011101000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23080 (or 23074 counting only the distinct ones).

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

Adding to 21011101000110 its reverse (1100010111012), we get a palindrome (22111111111122).

The spelling of 21011101000110 in words is "twenty-one trillion, eleven billion, one hundred one million, one hundred ten", and thus it is an aban number.