102200001120220 has 192 divisors, whose sum is σ = 227217108787200. Its totient is φ = 38506276419840.

The previous prime is 102200001120211. The next prime is 102200001120221. The reversal of 102200001120220 is 22021100002201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102200001120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200001120221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100294406871 + ... + 100294407889.

It is an arithmetic number, because the mean of its divisors is an integer number (1183422441600).

Almost surely, 2^{102200001120220} is an apocalyptic number.

102200001120220 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 102200001120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113608554393600).

102200001120220 is an abundant number, since it is smaller than the sum of its proper divisors (125017107666980).

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

102200001120220 is a wasteful number, since it uses less digits than its factorization.

102200001120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102200001120220 its reverse (22021100002201), we get a palindrome (124221101122421).

The spelling of 102200001120220 in words is "one hundred two trillion, two hundred billion, one million, one hundred twenty thousand, two hundred twenty".