21011011210001 has 8 divisors (see below), whose sum is σ = 21182546875464. Its totient is φ = 20840121630720.

The previous prime is 21011011209967. The next prime is 21011011210051. The reversal of 21011011210001 is 10001211011012.

It can be written as a sum of positive squares in 4 ways, for example, as 3633785250001 + 17377225960000 = 1906249^2 + 4168600^2 .

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 21011011210001 - 2³⁴ = 20993831340817 is a prime.

It is a super-2 number, since 2×21011011210001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21011011210051) 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 7 ways as a sum of consecutive naturals, for example, 161456240 + ... + 161586321.

It is an arithmetic number, because the mean of its divisors is an integer number (2647818359433).

Almost surely, 2^{21011011210001} is an apocalyptic number.

It is an amenable number.

21011011210001 is a deficient number, since it is larger than the sum of its proper divisors (171535665463).

21011011210001 is a wasteful number, since it uses less digits than its factorization.

21011011210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323043091.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21011011210001 its reverse (10001211011012), we get a palindrome (31012222221013).

The spelling of 21011011210001 in words is "twenty-one trillion, eleven billion, eleven million, two hundred ten thousand, one".