10102102021 has 16 divisors (see below), whose sum is σ = 11540631168. Its totient is φ = 8753113600.

The previous prime is 10102102019. The next prime is 10102102033. The reversal of 10102102021 is 12020120101.

It is not a de Polignac number, because 10102102021 - 2¹ = 10102102019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10102101989 and 10102102007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103102021) 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, 45 + ... + 142141.

It is an arithmetic number, because the mean of its divisors is an integer number (721289448).

Almost surely, 2^10102102021 is an apocalyptic number.

10102102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10102102021 is a deficient number, since it is larger than the sum of its proper divisors (1438529147).

10102102021 is a wasteful number, since it uses less digits than its factorization.

10102102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142412.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102102021 its reverse (12020120101), we get a palindrome (22122222122).

The spelling of 10102102021 in words is "ten billion, one hundred two million, one hundred two thousand, twenty-one".