1000021010101 has 8 divisors (see below), whose sum is σ = 1000362121304. Its totient is φ = 999679968000.

The previous prime is 1000021010017. The next prime is 1000021010147. The reversal of 1000021010101 is 1010101200001.

It can be written as a sum of positive squares in 4 ways, for example, as 260713381201 + 739307628900 = 510601^2 + 859830^2 .

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 1000021010101 - 2²⁹ = 999484139189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000021014101) 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, 50008561 + ... + 50028553.

It is an arithmetic number, because the mean of its divisors is an integer number (125045265163).

Almost surely, 2^{1000021010101} is an apocalyptic number.

It is an amenable number.

1000021010101 is a deficient number, since it is larger than the sum of its proper divisors (341111203).

1000021010101 is an equidigital number, since it uses as much as digits as its factorization.

1000021010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34551.

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

Adding to 1000021010101 its reverse (1010101200001), we get a palindrome (2010122210102).

The spelling of 1000021010101 in words is "one trillion, twenty-one million, ten thousand, one hundred one".