21010101000001 has 8 divisors (see below), whose sum is σ = 21029619560040. Its totient is φ = 20990583109248.

The previous prime is 21010100999941. The next prime is 21010101000013. The reversal of 21010101000001 is 10000010101012.

It can be written as a sum of positive squares in 4 ways, for example, as 574638286401 + 20435462713600 = 758049^2 + 4520560^2 .

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 21010101000001 - 2¹¹ = 21010100997953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21010101000041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80728855 + ... + 80988691.

It is an arithmetic number, because the mean of its divisors is an integer number (2628702445005).

Almost surely, 2^{21010101000001} is an apocalyptic number.

It is an amenable number.

21010101000001 is a deficient number, since it is larger than the sum of its proper divisors (19518560039).

21010101000001 is a wasteful number, since it uses less digits than its factorization.

21010101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334643.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 21010101000001 its reverse (10000010101012), we get a palindrome (31010111101013).

The spelling of 21010101000001 in words is "twenty-one trillion, ten billion, one hundred one million, one", and thus it is an aban number.