102120012000200 has 96 divisors (see below), whose sum is σ = 239040746127360. Its totient is φ = 40570809024000.

The previous prime is 102120012000163. The next prime is 102120012000203. The reversal of 102120012000200 is 2000210021201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102120012000203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185243372 + ... + 185793828.

It is an arithmetic number, because the mean of its divisors is an integer number (2490007772160).

Almost surely, 2^{102120012000200} is an apocalyptic number.

102120012000200 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 102120012000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119520373063680).

102120012000200 is an abundant number, since it is smaller than the sum of its proper divisors (136920734127160).

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

102120012000200 is a wasteful number, since it uses less digits than its factorization.

102120012000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556767 (or 556758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102120012000200 its reverse (2000210021201), we get a palindrome (104120222021401).

The spelling of 102120012000200 in words is "one hundred two trillion, one hundred twenty billion, twelve million, two hundred", and thus it is an aban number.