10102110211010 has 16 divisors (see below), whose sum is σ = 18196010494200. Its totient is φ = 4038130281216.

The previous prime is 10102110211009. The next prime is 10102110211019. The reversal of 10102110211010 is 1011201120101.

It can be written as a sum of positive squares in 4 ways, for example, as 4153325796841 + 5948784414169 = 2037971^2 + 2439013^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102110210982 and 10102110211000.

It is not an unprimeable number, because it can be changed into a prime (10102110211019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339209765 + ... + 339239544.

Almost surely, 2^{10102110211010} is an apocalyptic number.

10102110211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102110211010 is a deficient number, since it is larger than the sum of its proper divisors (8093900283190).

10102110211010 is a wasteful number, since it uses less digits than its factorization.

10102110211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678450805.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10102110211010 its reverse (1011201120101), we get a palindrome (11113311331111).

Subtracting from 10102110211010 its reverse (1011201120101), we obtain a palindrome (9090909090909).

The spelling of 10102110211010 in words is "ten trillion, one hundred two billion, one hundred ten million, two hundred eleven thousand, ten".