21001101100011 has 12 divisors (see below), whose sum is σ = 30629437635888. Its totient is φ = 13864804609104.

The previous prime is 21001101099989. The next prime is 21001101100033. The reversal of 21001101100011 is 11000110110012.

It is an interprime number because it is at equal distance from previous prime (21001101099989) and next prime (21001101100033).

It is not a de Polignac number, because 21001101100011 - 2⁷ = 21001101099883 is a prime.

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 = 21001101099966 and 21001101100002.

It is not an unprimeable number, because it can be changed into a prime (21001101107011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11327453820 + ... + 11327455673.

It is an arithmetic number, because the mean of its divisors is an integer number (2552453136324).

Almost surely, 2^{21001101100011} is an apocalyptic number.

21001101100011 is a deficient number, since it is larger than the sum of its proper divisors (9628336535877).

21001101100011 is a wasteful number, since it uses less digits than its factorization.

21001101100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22654909602 (or 22654909599 counting only the distinct ones).

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

Adding to 21001101100011 its reverse (11000110110012), we get a palindrome (32001211210023).

The spelling of 21001101100011 in words is "twenty-one trillion, one billion, one hundred one million, one hundred thousand, eleven".