101010021021021 has 48 divisors (see below), whose sum is σ = 166044066289920. Its totient is φ = 54272430213120.

The previous prime is 101010021020963. The next prime is 101010021021053. The reversal of 101010021021021 is 120120120010101.

It is not a de Polignac number, because 101010021021021 - 2²⁹ = 101009484150109 is a prime.

101010021021021 is a modest number, since divided by 21021021 gives 101010 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101010021020988 and 101010021021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010021021521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16855020 + ... + 22047941.

It is an arithmetic number, because the mean of its divisors is an integer number (3459251381040).

Almost surely, 2^{101010021021021} is an apocalyptic number.

It is an amenable number.

101010021021021 is a deficient number, since it is larger than the sum of its proper divisors (65034045268899).

101010021021021 is a wasteful number, since it uses less digits than its factorization.

101010021021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38904034 (or 38904027 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101010021021021 its reverse (120120120010101), we get a palindrome (221130141031122).

The spelling of 101010021021021 in words is "one hundred one trillion, ten billion, twenty-one million, twenty-one thousand, twenty-one".