102200103100320 has 48 divisors (see below), whose sum is σ = 321930324767520. Its totient is φ = 27253360826624.

The previous prime is 102200103100237. The next prime is 102200103100363. The reversal of 102200103100320 is 23001301002201.

102200103100320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×102200103100320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102200103100320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106458440250 + ... + 106458441209.

It is an arithmetic number, because the mean of its divisors is an integer number (6706881765990).

Almost surely, 2^{102200103100320} is an apocalyptic number.

102200103100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200103100320 is an abundant number, since it is smaller than the sum of its proper divisors (219730221667200).

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

102200103100320 is a wasteful number, since it uses less digits than its factorization.

102200103100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212916881477 (or 212916881469 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102200103100320 its reverse (23001301002201), we get a palindrome (125201404102521).

The spelling of 102200103100320 in words is "one hundred two trillion, two hundred billion, one hundred three million, one hundred thousand, three hundred twenty".