102231313110000 has 400 divisors, whose sum is σ = 368934547153920. Its totient is φ = 27094422240000.

The previous prime is 102231313109987. The next prime is 102231313110013. The reversal of 102231313110000 is 11313132201.

102231313110000 is a `hidden beast` number, since 1 + 0 + 223 + 131 + 311 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102231313109987) and next prime (102231313110013).

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42848545 + ... + 45171455.

Almost surely, 2^{102231313110000} is an apocalyptic number.

102231313110000 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 102231313110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184467273576960).

102231313110000 is an abundant number, since it is smaller than the sum of its proper divisors (266703234043920).

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

102231313110000 is a wasteful number, since it uses less digits than its factorization.

102231313110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323111 (or 2323084 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102231313110000 its reverse (11313132201), we get a palindrome (102242626242201).

The spelling of 102231313110000 in words is "one hundred two trillion, two hundred thirty-one billion, three hundred thirteen million, one hundred ten thousand".