1002102210021 has 16 divisors (see below), whose sum is σ = 1468729963008. Its totient is φ = 602698527600.

The previous prime is 1002102210007. The next prime is 1002102210023. The reversal of 1002102210021 is 1200122012001.

It is not a de Polignac number, because 1002102210021 - 2⁵ = 1002102209989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002102209979 and 1002102210006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002102210023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115899241 + ... + 115907886.

It is an arithmetic number, because the mean of its divisors is an integer number (91795622688).

Almost surely, 2^{1002102210021} is an apocalyptic number.

1002102210021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002102210021 is a deficient number, since it is larger than the sum of its proper divisors (466627752987).

1002102210021 is a wasteful number, since it uses less digits than its factorization.

1002102210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231807272.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002102210021 its reverse (1200122012001), we get a palindrome (2202224222022).

The spelling of 1002102210021 in words is "one trillion, two billion, one hundred two million, two hundred ten thousand, twenty-one".