102200102220 has 384 divisors, whose sum is σ = 309533736960. Its totient is φ = 25158481920.

The previous prime is 102200102177. The next prime is 102200102233. The reversal of 102200102220 is 22201002201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102200102196 and 102200102205.

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, 611976577 + ... + 611976743.

It is an arithmetic number, because the mean of its divisors is an integer number (806077440).

Almost surely, 2^102200102220 is an apocalyptic number.

102200102220 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 102200102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154766868480).

102200102220 is an abundant number, since it is smaller than the sum of its proper divisors (207333634740).

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

102200102220 is a wasteful number, since it uses less digits than its factorization.

102200102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102200102220 its reverse (22201002201), we get a palindrome (124401104421).

The spelling of 102200102220 in words is "one hundred two billion, two hundred million, one hundred two thousand, two hundred twenty".