102200013230220 has 36 divisors (see below), whose sum is σ = 310006706798880. Its totient is φ = 27253336861344.

The previous prime is 102200013230141. The next prime is 102200013230303. The reversal of 102200013230220 is 22032310002201.

102200013230220 is a `hidden beast` number, since 1 + 0 + 2 + 200 + 0 + 13 + 230 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102200013230193 and 102200013230202.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 283888925460 + ... + 283888925819.

It is an arithmetic number, because the mean of its divisors is an integer number (8611297411080).

Almost surely, 2^{102200013230220} is an apocalyptic number.

102200013230220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200013230220 is an abundant number, since it is smaller than the sum of its proper divisors (207806693568660).

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

102200013230220 is a wasteful number, since it uses less digits than its factorization.

102200013230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567777851294 (or 567777851289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102200013230220 its reverse (22032310002201), we get a palindrome (124232323232421).

The spelling of 102200013230220 in words is "one hundred two trillion, two hundred billion, thirteen million, two hundred thirty thousand, two hundred twenty".