102200033310320 has 40 divisors (see below), whose sum is σ = 259216448125680. Its totient is φ = 37163648476160.

The previous prime is 102200033310283. The next prime is 102200033310329. The reversal of 102200033310320 is 23013330002201.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 102200033310292 and 102200033310301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200033310329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58068199865 + ... + 58068201624.

It is an arithmetic number, because the mean of its divisors is an integer number (6480411203142).

Almost surely, 2^{102200033310320} is an apocalyptic number.

102200033310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200033310320 is an abundant number, since it is smaller than the sum of its proper divisors (157016414815360).

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

102200033310320 is a wasteful number, since it uses less digits than its factorization.

102200033310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116136401513 (or 116136401507 counting only the distinct ones).

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

Adding to 102200033310320 its reverse (23013330002201), we get a palindrome (125213363312521).

The spelling of 102200033310320 in words is "one hundred two trillion, two hundred billion, thirty-three million, three hundred ten thousand, three hundred twenty".