102200022022120 has 64 divisors (see below), whose sum is σ = 264057473188800. Its totient is φ = 35207663086080.

The previous prime is 102200022022051. The next prime is 102200022022141. The reversal of 102200022022120 is 21220220002201.

102200022022120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102200022022094 and 102200022022103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6112433149 + ... + 6112449868.

It is an arithmetic number, because the mean of its divisors is an integer number (4125898018575).

Almost surely, 2^{102200022022120} is an apocalyptic number.

102200022022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200022022120 is an abundant number, since it is smaller than the sum of its proper divisors (161857451166680).

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

102200022022120 is a wasteful number, since it uses less digits than its factorization.

102200022022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12224883058 (or 12224883054 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102200022022120 its reverse (21220220002201), we get a palindrome (123420242024321).

The spelling of 102200022022120 in words is "one hundred two trillion, two hundred billion, twenty-two million, twenty-two thousand, one hundred twenty".