102020133003120 has 160 divisors (see below), whose sum is σ = 351412558156800. Its totient is φ = 27204604068096.

The previous prime is 102020133003109. The next prime is 102020133003121. The reversal of 102020133003120 is 21300331020201.

102020133003120 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 20 + 1 + 330 + 0 + 312 + 0 = 666.

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 = 102020133003093 and 102020133003102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020133003121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78373741 + ... + 79664819.

It is an arithmetic number, because the mean of its divisors is an integer number (2196328488480).

Almost surely, 2^{102020133003120} is an apocalyptic number.

102020133003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020133003120 is an abundant number, since it is smaller than the sum of its proper divisors (249392425153680).

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

102020133003120 is a wasteful number, since it uses less digits than its factorization.

102020133003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327684 (or 1327672 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102020133003120 its reverse (21300331020201), we get a palindrome (123320464023321).

The spelling of 102020133003120 in words is "one hundred two trillion, twenty billion, one hundred thirty-three million, three thousand, one hundred twenty".