1021101000001 has 8 divisors (see below), whose sum is σ = 1031647938440. Its totient is φ = 1010554472448.

The previous prime is 1021100999957. The next prime is 1021101000037. The reversal of 1021101000001 is 1000001011201.

It can be written as a sum of positive squares in 4 ways, for example, as 37800691776 + 983300308225 = 194424^2 + 991615^2 .

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 1021101000001 - 2⁷ = 1021100999873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021101000061) 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, 9531205 + ... + 9637741.

It is an arithmetic number, because the mean of its divisors is an integer number (128955992305).

Almost surely, 2^{1021101000001} is an apocalyptic number.

It is an amenable number.

1021101000001 is a deficient number, since it is larger than the sum of its proper divisors (10546938439).

1021101000001 is an equidigital number, since it uses as much as digits as its factorization.

1021101000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205443.

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

Adding to 1021101000001 its reverse (1000001011201), we get a palindrome (2021102011202).

The spelling of 1021101000001 in words is "one trillion, twenty-one billion, one hundred one million, one", and thus it is an aban number.