102012120022120 has 128 divisors (see below), whose sum is σ = 288252657711360. Its totient is φ = 31563897845760.

The previous prime is 102012120022091. The next prime is 102012120022157. The reversal of 102012120022120 is 21220021210201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102012120022094 and 102012120022103.

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 31 ways as a sum of consecutive naturals, for example, 120456939 + ... + 121300858.

It is an arithmetic number, because the mean of its divisors is an integer number (2251973888370).

Almost surely, 2^{102012120022120} is an apocalyptic number.

102012120022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012120022120 is an abundant number, since it is smaller than the sum of its proper divisors (186240537689240).

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

102012120022120 is a wasteful number, since it uses less digits than its factorization.

102012120022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241757963 (or 241757959 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102012120022120 its reverse (21220021210201), we get a palindrome (123232141232321).

The spelling of 102012120022120 in words is "one hundred two trillion, twelve billion, one hundred twenty million, twenty-two thousand, one hundred twenty".