102120000012000 has 288 divisors, whose sum is σ = 367011534314880. Its totient is φ = 26887290393600.

The previous prime is 102120000011903. The next prime is 102120000012013. The reversal of 102120000012000 is 210000021201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 15109587 + ... + 20797586.

It is an arithmetic number, because the mean of its divisors is an integer number (1274345605260).

Almost surely, 2^{102120000012000} is an apocalyptic number.

102120000012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120000012000 is an abundant number, since it is smaller than the sum of its proper divisors (264891534302880).

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

102120000012000 is a wasteful number, since it uses less digits than its factorization.

102120000012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35907283 (or 35907262 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102120000012000 its reverse (210000021201), we get a palindrome (102330000033201).

The spelling of 102120000012000 in words is "one hundred two trillion, one hundred twenty billion, twelve thousand".