102231210400000 has 216 divisors, whose sum is σ = 278250051356928. Its totient is φ = 37174982400000.

The previous prime is 102231210399973. The next prime is 102231210400001. The reversal of 102231210400000 is 4012132201.

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 (102231210400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2991409 + ... + 14608591.

It is an arithmetic number, because the mean of its divisors is an integer number (1288194682208).

Almost surely, 2^{102231210400000} is an apocalyptic number.

102231210400000 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 102231210400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139125025678464).

102231210400000 is an abundant number, since it is smaller than the sum of its proper divisors (176018840956928).

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

102231210400000 is an frugal number, since it uses more digits than its factorization.

102231210400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11617235 (or 11617201 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102231210400000 its reverse (4012132201), we get a palindrome (102235222532201).

The spelling of 102231210400000 in words is "one hundred two trillion, two hundred thirty-one billion, two hundred ten million, four hundred thousand".