102002220022200 has 576 divisors, whose sum is σ = 345796047324000. Its totient is φ = 24838331105280.

The previous prime is 102002220022169. The next prime is 102002220022267. The reversal of 102002220022200 is 2220022200201.

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 102002220022200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 819147144 + ... + 819271656.

Almost surely, 2^{102002220022200} is an apocalyptic number.

102002220022200 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 102002220022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172898023662000).

102002220022200 is an abundant number, since it is smaller than the sum of its proper divisors (243793827301800).

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

102002220022200 is a wasteful number, since it uses less digits than its factorization.

102002220022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124696 (or 124664 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 102002220022200 its reverse (2220022200201), we get a palindrome (104222242222401).

The spelling of 102002220022200 in words is "one hundred two trillion, two billion, two hundred twenty million, twenty-two thousand, two hundred".