10201102122200 has 96 divisors (see below), whose sum is σ = 25900466549760. Its totient is φ = 3705654825600.

The previous prime is 10201102122193. The next prime is 10201102122203. The reversal of 10201102122200 is 222120110201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201102122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270152 + ... + 4524951.

It is an arithmetic number, because the mean of its divisors is an integer number (269796526560).

Almost surely, 2^{10201102122200} is an apocalyptic number.

10201102122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201102122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12950233274880).

10201102122200 is an abundant number, since it is smaller than the sum of its proper divisors (15699364427560).

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

10201102122200 is a wasteful number, since it uses less digits than its factorization.

10201102122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796097 (or 4796088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10201102122200 its reverse (222120110201), we get a palindrome (10423222232401).

The spelling of 10201102122200 in words is "ten trillion, two hundred one billion, one hundred two million, one hundred twenty-two thousand, two hundred".