102012121200000 has 384 divisors, whose sum is σ = 369480531732480. Its totient is φ = 24730208000000.

The previous prime is 102012121199887. The next prime is 102012121200029. The reversal of 102012121200000 is 2121210201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9335905 + ... + 17064095.

It is an arithmetic number, because the mean of its divisors is an integer number (962188884720).

Almost surely, 2^{102012121200000} is an apocalyptic number.

102012121200000 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 102012121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184740265866240).

102012121200000 is an abundant number, since it is smaller than the sum of its proper divisors (267468410532480).

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

102012121200000 is an frugal number, since it uses more digits than its factorization.

102012121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728244 (or 7728212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102012121200000 its reverse (2121210201), we get a palindrome (102014242410201).

The spelling of 102012121200000 in words is "one hundred two trillion, twelve billion, one hundred twenty-one million, two hundred thousand".