102220100202200 has 96 divisors (see below), whose sum is σ = 250237948069200. Its totient is φ = 38725554954240.

The previous prime is 102220100202193. The next prime is 102220100202203. The reversal of 102220100202200 is 2202001022201.

It is a super-4 number, since 4×102220100202200⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220100202203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10410512 + ... + 17686688.

Almost surely, 2^{102220100202200} is an apocalyptic number.

102220100202200 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 102220100202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125118974034600).

102220100202200 is an abundant number, since it is smaller than the sum of its proper divisors (148017847867000).

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

102220100202200 is a wasteful number, since it uses less digits than its factorization.

102220100202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279909 (or 7279900 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 102220100202200 its reverse (2202001022201), we get a palindrome (104422101224401).

The spelling of 102220100202200 in words is "one hundred two trillion, two hundred twenty billion, one hundred million, two hundred two thousand, two hundred".