10102002210 has 128 divisors (see below), whose sum is σ = 27361877760. Its totient is φ = 2651793408.

The previous prime is 10102002179. The next prime is 10102002221. The reversal of 10102002210 is 1220020101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102002192 and 10102002201.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7910092 + ... + 7911368.

It is an arithmetic number, because the mean of its divisors is an integer number (213764670).

Almost surely, 2^10102002210 is an apocalyptic number.

10102002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680938880).

10102002210 is an abundant number, since it is smaller than the sum of its proper divisors (17259875550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102002210 is a wasteful number, since it uses less digits than its factorization.

10102002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102002210 its reverse (1220020101), we get a palindrome (11322022311).

The spelling of 10102002210 in words is "ten billion, one hundred two million, two thousand, two hundred ten".