10202102122110 has 128 divisors (see below), whose sum is σ = 25051081973760. Its totient is φ = 2658112644096.

The previous prime is 10202102122099. The next prime is 10202102122117. The reversal of 10202102122110 is 1122120120201.

It is a super-2 number, since 2×10202102122110² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202102122110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202102122117) 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 63 ways as a sum of consecutive naturals, for example, 540957861 + ... + 540976719.

It is an arithmetic number, because the mean of its divisors is an integer number (195711577920).

Almost surely, 2^{10202102122110} is an apocalyptic number.

10202102122110 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 10202102122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12525540986880).

10202102122110 is an abundant number, since it is smaller than the sum of its proper divisors (14848979851650).

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

10202102122110 is a wasteful number, since it uses less digits than its factorization.

10202102122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20322.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10202102122110 its reverse (1122120120201), we get a palindrome (11324222242311).

The spelling of 10202102122110 in words is "ten trillion, two hundred two billion, one hundred two million, one hundred twenty-two thousand, one hundred ten".