102120021210200 has 192 divisors, whose sum is σ = 272066678046720. Its totient is φ = 34919833536000.

The previous prime is 102120021210167. The next prime is 102120021210211. The reversal of 102120021210200 is 2012120021201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 1943525129 + ... + 1943577671.

It is an arithmetic number, because the mean of its divisors is an integer number (1417013948160).

Almost surely, 2^{102120021210200} is an apocalyptic number.

102120021210200 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 102120021210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136033339023360).

102120021210200 is an abundant number, since it is smaller than the sum of its proper divisors (169946656836520).

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

102120021210200 is a wasteful number, since it uses less digits than its factorization.

102120021210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56218 (or 56209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102120021210200 its reverse (2012120021201), we get a palindrome (104132141231401).

The spelling of 102120021210200 in words is "one hundred two trillion, one hundred twenty billion, twenty-one million, two hundred ten thousand, two hundred".