10102010021 has 16 divisors (see below), whose sum is σ = 10895938560. Its totient is φ = 9338482560.

The previous prime is 10102009987. The next prime is 10102010089. The reversal of 10102010021 is 12001020101.

It is a cyclic number.

It is not a de Polignac number, because 10102010021 - 2¹⁰ = 10102008997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102009990 and 10102010008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102010921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541985 + ... + 560313.

It is an arithmetic number, because the mean of its divisors is an integer number (680996160).

Almost surely, 2^10102010021 is an apocalyptic number.

It is an amenable number.

10102010021 is a deficient number, since it is larger than the sum of its proper divisors (793928539).

10102010021 is a wasteful number, since it uses less digits than its factorization.

10102010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19156.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10102010021 its reverse (12001020101), we get a palindrome (22103030122).

The spelling of 10102010021 in words is "ten billion, one hundred two million, ten thousand, twenty-one".