101202122122002 has 72 divisors (see below), whose sum is σ = 251496182875392. Its totient is φ = 29333948426640.

The previous prime is 101202122121943. The next prime is 101202122122037. The reversal of 101202122122002 is 200221221202101.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1010072098 + ... + 1010172285.

It is an arithmetic number, because the mean of its divisors is an integer number (3493002539936).

Almost surely, 2^{101202122122002} is an apocalyptic number.

101202122122002 is an abundant number, since it is smaller than the sum of its proper divisors (150294060753390).

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

101202122122002 is a wasteful number, since it uses less digits than its factorization.

101202122122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020244436 (or 2020244422 counting only the distinct ones).

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

Adding to 101202122122002 its reverse (200221221202101), we get a palindrome (301423343324103).

The spelling of 101202122122002 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, two".