21101011101 has 24 divisors (see below), whose sum is σ = 31187804544. Its totient is φ = 13741465920.

The previous prime is 21101011073. The next prime is 21101011103. The reversal of 21101011101 is 10111010112.

It is not a de Polignac number, because 21101011101 - 2²⁶ = 21033902237 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101011103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172510 + ... + 268256.

It is an arithmetic number, because the mean of its divisors is an integer number (1299491856).

Almost surely, 2^21101011101 is an apocalyptic number.

It is an amenable number.

21101011101 is a deficient number, since it is larger than the sum of its proper divisors (10086793443).

21101011101 is a wasteful number, since it uses less digits than its factorization.

21101011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96321 (or 96318 counting only the distinct ones).

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

Adding to 21101011101 its reverse (10111010112), we get a palindrome (31212021213).

It can be divided in two parts, 211010 and 11101, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 21101011101 in words is "twenty-one billion, one hundred one million, eleven thousand, one hundred one".