102000133310020 has 48 divisors (see below), whose sum is σ = 233688896316288. Its totient is φ = 37088439528960.

The previous prime is 102000133309927. The next prime is 102000133310029. The reversal of 102000133310020 is 20013331000201.

It is a super-3 number, since 3×102000133310020³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102000133309976 and 102000133310003.

It is not an unprimeable number, because it can be changed into a prime (102000133310029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12488232 + ... + 18972511.

It is an arithmetic number, because the mean of its divisors is an integer number (4868518673256).

Almost surely, 2^{102000133310020} is an apocalyptic number.

102000133310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102000133310020 is an abundant number, since it is smaller than the sum of its proper divisors (131688763006268).

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

102000133310020 is a wasteful number, since it uses less digits than its factorization.

102000133310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31475500 (or 31475498 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102000133310020 its reverse (20013331000201), we get a palindrome (122013464310221).

The spelling of 102000133310020 in words is "one hundred two trillion, one hundred thirty-three million, three hundred ten thousand, twenty".