102012201120000 has 180 divisors, whose sum is σ = 339267929572880. Its totient is φ = 27203253504000.

The previous prime is 102012201119999. The next prime is 102012201120001. The reversal of 102012201120000 is 21102210201.

It is an interprime number because it is at equal distance from previous prime (102012201119999) and next prime (102012201120001).

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

It is not an unprimeable number, because it can be changed into a prime (102012201120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105782710 + ... + 106742709.

Almost surely, 2^{102012201120000} is an apocalyptic number.

102012201120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012201120000 is an abundant number, since it is smaller than the sum of its proper divisors (237255728452880).

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

102012201120000 is an frugal number, since it uses more digits than its factorization.

102012201120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212525458 (or 212525429 counting only the distinct ones).

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

Adding to 102012201120000 its reverse (21102210201), we get a palindrome (102033303330201).

The spelling of 102012201120000 in words is "one hundred two trillion, twelve billion, two hundred one million, one hundred twenty thousand".