102002122120 has 32 divisors (see below), whose sum is σ = 230457098520. Its totient is φ = 40631546880.

The previous prime is 102002122091. The next prime is 102002122129. The reversal of 102002122120 is 21221200201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100637410756 + 1364711364 = 317234^2 + 36942^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102002122120.

It is not an unprimeable number, because it can be changed into a prime (102002122129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5280927 + ... + 5300206.

Almost surely, 2^102002122120 is an apocalyptic number.

102002122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002122120 is an abundant number, since it is smaller than the sum of its proper divisors (128454976400).

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

102002122120 is a wasteful number, since it uses less digits than its factorization.

102002122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10581385 (or 10581381 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102002122120 its reverse (21221200201), we get a palindrome (123223322321).

The spelling of 102002122120 in words is "one hundred two billion, two million, one hundred twenty-two thousand, one hundred twenty".