102002100333320 has 256 divisors, whose sum is σ = 256065633331200. Its totient is φ = 36256990556160.

The previous prime is 102002100333319. The next prime is 102002100333389. The reversal of 102002100333320 is 23333001200201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102002100333292 and 102002100333301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2919416411 + ... + 2919451349.

It is an arithmetic number, because the mean of its divisors is an integer number (1000256380200).

Almost surely, 2^{102002100333320} is an apocalyptic number.

102002100333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002100333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128032816665600).

102002100333320 is an abundant number, since it is smaller than the sum of its proper divisors (154063532997880).

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

102002100333320 is a wasteful number, since it uses less digits than its factorization.

102002100333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35788 (or 35784 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 102002100333320 its reverse (23333001200201), we get a palindrome (125335101533521).

The spelling of 102002100333320 in words is "one hundred two trillion, two billion, one hundred million, three hundred thirty-three thousand, three hundred twenty".