102301200113220 has 36 divisors (see below), whose sum is σ = 310313640343980. Its totient is φ = 27280320030144.

The previous prime is 102301200113213. The next prime is 102301200113227. The reversal of 102301200113220 is 22311002103201.

102301200113220 is a `hidden beast` number, since 1 + 0 + 230 + 1 + 200 + 1 + 13 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (102301200113213) and next prime (102301200113227).

It can be written as a sum of positive squares in 2 ways, for example, as 49487172922944 + 52814027190276 = 7034712^2 + 7267326^2 .

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 = 102301200113193 and 102301200113202.

It is not an unprimeable number, because it can be changed into a prime (102301200113227) 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 11 ways as a sum of consecutive naturals, for example, 284170000135 + ... + 284170000494.

Almost surely, 2^{102301200113220} is an apocalyptic number.

102301200113220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102301200113220 is an abundant number, since it is smaller than the sum of its proper divisors (208012440230760).

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

102301200113220 is a wasteful number, since it uses less digits than its factorization.

102301200113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568340000644 (or 568340000639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102301200113220 its reverse (22311002103201), we get a palindrome (124612202216421).

The spelling of 102301200113220 in words is "one hundred two trillion, three hundred one billion, two hundred million, one hundred thirteen thousand, two hundred twenty".