101202202102110 has 256 divisors, whose sum is σ = 260044987023360. Its totient is φ = 25192702254720.

The previous prime is 101202202102109. The next prime is 101202202102213. The reversal of 101202202102110 is 11201202202101.

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 101202202102110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28989457465 + ... + 28989460955.

It is an arithmetic number, because the mean of its divisors is an integer number (1015800730560).

Almost surely, 2^{101202202102110} is an apocalyptic number.

101202202102110 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 101202202102110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130022493511680).

101202202102110 is an abundant number, since it is smaller than the sum of its proper divisors (158842784921250).

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

101202202102110 is a wasteful number, since it uses less digits than its factorization.

101202202102110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5414 counting only the distinct ones).

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

Adding to 101202202102110 its reverse (11201202202101), we get a palindrome (112403404304211).

Subtracting from 101202202102110 its reverse (11201202202101), we obtain a palindrome (90000999900009).

The spelling of 101202202102110 in words is "one hundred one trillion, two hundred two billion, two hundred two million, one hundred two thousand, one hundred ten".