21000102001011 has 80 divisors (see below), whose sum is σ = 37749707001600. Its totient is φ = 11365243296192.

The previous prime is 21000102001003. The next prime is 21000102001069. The reversal of 21000102001011 is 11010020100012.

It is a happy number.

It is not a de Polignac number, because 21000102001011 - 2³ = 21000102001003 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 = 21000102000984 and 21000102001002.

It is not an unprimeable number, because it can be changed into a prime (21000102003011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37850241 + ... + 38401053.

It is an arithmetic number, because the mean of its divisors is an integer number (471871337520).

Almost surely, 2^{21000102001011} is an apocalyptic number.

21000102001011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21000102001011 is a deficient number, since it is larger than the sum of its proper divisors (16749605000589).

21000102001011 is a wasteful number, since it uses less digits than its factorization.

21000102001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554390 (or 554381 counting only the distinct ones).

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

Adding to 21000102001011 its reverse (11010020100012), we get a palindrome (32010122101023).

The spelling of 21000102001011 in words is "twenty-one trillion, one hundred two million, one thousand, eleven".