102122120212000 has 192 divisors, whose sum is σ = 286959137197824. Its totient is φ = 34988851046400.

The previous prime is 102122120211959. The next prime is 102122120212003. The reversal of 102122120212000 is 212021221201.

It is a happy number.

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 (102122120212003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38851419 + ... + 41396581.

It is an arithmetic number, because the mean of its divisors is an integer number (1494578839572).

Almost surely, 2^{102122120212000} is an apocalyptic number.

102122120212000 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 102122120212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143479568598912).

102122120212000 is an abundant number, since it is smaller than the sum of its proper divisors (184837016985824).

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

102122120212000 is a wasteful number, since it uses less digits than its factorization.

102122120212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546628 (or 2546610 counting only the distinct ones).

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

Adding to 102122120212000 its reverse (212021221201), we get a palindrome (102334141433201).

The spelling of 102122120212000 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twelve thousand".