21002101001011 has 8 divisors (see below), whose sum is σ = 22678284361040. Its totient is φ = 19334580088032.

The previous prime is 21002101000919. The next prime is 21002101001017. The reversal of 21002101001011 is 11010010120012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21002101001011 - 2⁷ = 21002101000883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21002101001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2165606721 + ... + 2165616418.

It is an arithmetic number, because the mean of its divisors is an integer number (2834785545130).

Almost surely, 2^{21002101001011} is an apocalyptic number.

21002101001011 is a deficient number, since it is larger than the sum of its proper divisors (1676183360029).

21002101001011 is a wasteful number, since it uses less digits than its factorization.

21002101001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331223525.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21002101001011 its reverse (11010010120012), we get a palindrome (32012111121023).

The spelling of 21002101001011 in words is "twenty-one trillion, two billion, one hundred one million, one thousand, eleven".