102411322400000 has 864 divisors, whose sum is σ = 274795656952320. Its totient is φ = 37974942720000.

The previous prime is 102411322399961. The next prime is 102411322400003. The reversal of 102411322400000 is 4223114201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102411322400003) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 231176799779 + ... + 231176800221.

It is an arithmetic number, because the mean of its divisors is an integer number (318050528880).

Almost surely, 2^{102411322400000} is an apocalyptic number.

102411322400000 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 102411322400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137397828476160).

102411322400000 is an abundant number, since it is smaller than the sum of its proper divisors (172384334552320).

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

102411322400000 is an frugal number, since it uses more digits than its factorization.

102411322400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102411322400000 its reverse (4223114201), we get a palindrome (102415545514201).

The spelling of 102411322400000 in words is "one hundred two trillion, four hundred eleven billion, three hundred twenty-two million, four hundred thousand".