101010021 has 24 divisors (see below), whose sum is σ = 157210560. Its totient is φ = 57520512.

The previous prime is 101009983. The next prime is 101010031. The reversal of 101010021 is 120010101.

It is not a de Polignac number, because 101010021 - 2⁶ = 101009957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101009991 and 101010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48520 + ... + 50558.

It is an arithmetic number, because the mean of its divisors is an integer number (6550440).

Almost surely, 2^101010021 is an apocalyptic number.

It is an amenable number.

101010021 is a deficient number, since it is larger than the sum of its proper divisors (56200539).

101010021 is a wasteful number, since it uses less digits than its factorization.

101010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101010021 is about 10050.3741721391. The cubic root of 101010021 is about 465.7163522157.

Adding to 101010021 its reverse (120010101), we get a palindrome (221020122).

The spelling of 101010021 in words is "one hundred one million, ten thousand, twenty-one".