102122120201202 has 192 divisors, whose sum is σ = 227901715292160. Its totient is φ = 33039551376000.

The previous prime is 102122120201201. The next prime is 102122120201207. The reversal of 102122120201202 is 202102021221201.

It is a happy number.

102122120201202 is a `hidden beast` number, since 1 + 0 + 21 + 221 + 20 + 201 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102122120201201) 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 95 ways as a sum of consecutive naturals, for example, 35373091803 + ... + 35373094689.

It is an arithmetic number, because the mean of its divisors is an integer number (1186988100480).

Almost surely, 2^{102122120201202} is an apocalyptic number.

102122120201202 is an abundant number, since it is smaller than the sum of its proper divisors (125779595090958).

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

102122120201202 is a wasteful number, since it uses less digits than its factorization.

102122120201202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4749 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102122120201202 its reverse (202102021221201), we get a palindrome (304224141422403).

The spelling of 102122120201202 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred one thousand, two hundred two".