21100201011 has 12 divisors (see below), whose sum is σ = 31301800192. Its totient is φ = 13686616656.

The previous prime is 21100200997. The next prime is 21100201139. The reversal of 21100201011 is 11010200112.

It is a happy number.

It is not a de Polignac number, because 21100201011 - 2¹³ = 21100192819 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21100200984 and 21100201002.

It is not an unprimeable number, because it can be changed into a prime (21100201411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31681651 + ... + 31682316.

Almost surely, 2^21100201011 is an apocalyptic number.

21100201011 is a deficient number, since it is larger than the sum of its proper divisors (10201599181).

21100201011 is a wasteful number, since it uses less digits than its factorization.

21100201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63364010 (or 63364007 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21100201011 its reverse (11010200112), we get a palindrome (32110401123).

It can be divided in two parts, 21100 and 201011, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 21100201011 in words is "twenty-one billion, one hundred million, two hundred one thousand, eleven".