102122122102000 has 320 divisors, whose sum is σ = 331544117818368. Its totient is φ = 29381788800000.

The previous prime is 102122122101983. The next prime is 102122122102027. The reversal of 102122122102000 is 201221221201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23503026 + ... + 27507025.

Almost surely, 2^{102122122102000} is an apocalyptic number.

102122122102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122122102000 is an abundant number, since it is smaller than the sum of its proper divisors (229421995716368).

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

102122122102000 is a wasteful number, since it uses less digits than its factorization.

102122122102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51010105 (or 51010089 counting only the distinct ones).

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

Adding to 102122122102000 its reverse (201221221201), we get a palindrome (102323343323201).

It can be divided in two parts, 10212 and 2122102000, that added together give a palindrome (2122112212).

The spelling of 102122122102000 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred two thousand".