102122202112000 has 896 divisors, whose sum is σ = 307017550015488. Its totient is φ = 33154007040000.

The previous prime is 102122202111961. The next prime is 102122202112009. The reversal of 102122202112000 is 211202221201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102122202112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16651260934 + ... + 16651267066.

Almost surely, 2^{102122202112000} is an apocalyptic number.

102122202112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102122202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153508775007744).

102122202112000 is an abundant number, since it is smaller than the sum of its proper divisors (204895347903488).

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

102122202112000 is an equidigital number, since it uses as much as digits as its factorization.

102122202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6271 counting only the distinct ones).

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

Adding to 102122202112000 its reverse (211202221201), we get a palindrome (102333404333201).

The spelling of 102122202112000 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred two million, one hundred twelve thousand".