102121200120000 has 280 divisors, whose sum is σ = 337873688260416. Its totient is φ = 27213190784000.

The previous prime is 102121200119999. The next prime is 102121200120011. The reversal of 102121200120000 is 21002121201.

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

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 39 ways as a sum of consecutive naturals, for example, 170941819 + ... + 171538181.

Almost surely, 2^{102121200120000} is an apocalyptic number.

102121200120000 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 102121200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168936844130208).

102121200120000 is an abundant number, since it is smaller than the sum of its proper divisors (235752488140416).

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

102121200120000 is an equidigital number, since it uses as much as digits as its factorization.

102121200120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597825 (or 597800 counting only the distinct ones).

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

Adding to 102121200120000 its reverse (21002121201), we get a palindrome (102142202241201).

The spelling of 102121200120000 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred million, one hundred twenty thousand".