101010101010021 has 32 divisors (see below), whose sum is σ = 171025321145600. Its totient is φ = 57719069553600.

The previous prime is 101010101010019. The next prime is 101010101010061. The reversal of 101010101010021 is 120010101010101.

It is not a de Polignac number, because 101010101010021 - 2¹ = 101010101010019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010101009985 and 101010101010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010101010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6565671 + ... + 15656571.

It is an arithmetic number, because the mean of its divisors is an integer number (5344541285800).

Almost surely, 2^{101010101010021} is an apocalyptic number.

It is an amenable number.

101010101010021 is a deficient number, since it is larger than the sum of its proper divisors (70015220135579).

101010101010021 is an equidigital number, since it uses as much as digits as its factorization.

101010101010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149706 (or 9149700 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101010101010021 its reverse (120010101010101), we get a palindrome (221020202020122).

The spelling of 101010101010021 in words is "one hundred one trillion, ten billion, one hundred one million, ten thousand, twenty-one".