21011011110 has 192 divisors, whose sum is σ = 61726691520. Its totient is φ = 4926873600.

The previous prime is 21011011079. The next prime is 21011011111. The reversal of 21011011110 is 1111011012.

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 = 21011011092 and 21011011101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011011111) 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, 2117160 + ... + 2127060.

It is an arithmetic number, because the mean of its divisors is an integer number (321493185).

Almost surely, 2^21011011110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30863345760).

21011011110 is an abundant number, since it is smaller than the sum of its proper divisors (40715680410).

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

21011011110 is a wasteful number, since it uses less digits than its factorization.

21011011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023 (or 10020 counting only the distinct ones).

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

Adding to 21011011110 its reverse (1111011012), we get a palindrome (22122022122).

The spelling of 21011011110 in words is "twenty-one billion, eleven million, eleven thousand, one hundred ten".