102012103210000 has 200 divisors, whose sum is σ = 247887093238400. Its totient is φ = 40655414592000.

The previous prime is 102012103209983. The next prime is 102012103210019. The reversal of 102012103210000 is 12301210201.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4631218987 + ... + 4631241013.

It is an arithmetic number, because the mean of its divisors is an integer number (1239435466192).

Almost surely, 2^{102012103210000} is an apocalyptic number.

102012103210000 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 102012103210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123943546619200).

102012103210000 is an abundant number, since it is smaller than the sum of its proper divisors (145874990028400).

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

102012103210000 is a wasteful number, since it uses less digits than its factorization.

102012103210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23731 (or 23710 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102012103210000 its reverse (12301210201), we get a palindrome (102024404420201).

The spelling of 102012103210000 in words is "one hundred two trillion, twelve billion, one hundred three million, two hundred ten thousand".