102122100010000 has 400 divisors, whose sum is σ = 288514313366400. Its totient is φ = 34991597760000.

The previous prime is 102122100009991. The next prime is 102122100010079. The reversal of 102122100010000 is 10001221201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

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 79 ways as a sum of consecutive naturals, for example, 6129401670 + ... + 6129418330.

It is an arithmetic number, because the mean of its divisors is an integer number (721285783416).

Almost surely, 2^{102122100010000} is an apocalyptic number.

102122100010000 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 102122100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144257156683200).

102122100010000 is an abundant number, since it is smaller than the sum of its proper divisors (186392213356400).

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

102122100010000 is an equidigital number, since it uses as much as digits as its factorization.

102122100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18497 (or 18462 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102122100010000 its reverse (10001221201), we get a palindrome (102132101231201).

The spelling of 102122100010000 in words is "one hundred two trillion, one hundred twenty-two billion, one hundred million, ten thousand".