100102200202200 has 192 divisors, whose sum is σ = 356196478752000. Its totient is φ = 22780587824640.

The previous prime is 100102200202189. The next prime is 100102200202201. The reversal of 100102200202200 is 2202002201001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102200202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51077190 + ... + 53000789.

It is an arithmetic number, because the mean of its divisors is an integer number (1855189993500).

Almost surely, 2^{100102200202200} is an apocalyptic number.

100102200202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102200202200 is an abundant number, since it is smaller than the sum of its proper divisors (256094278549800).

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

100102200202200 is a wasteful number, since it uses less digits than its factorization.

100102200202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104078234 (or 104078225 counting only the distinct ones).

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

Adding to 100102200202200 its reverse (2202002201001), we get a palindrome (102304202403201).

The spelling of 100102200202200 in words is "one hundred trillion, one hundred two billion, two hundred million, two hundred two thousand, two hundred".