102022010211200 has 384 divisors, whose sum is σ = 277974738835200. Its totient is φ = 36826494566400.

The previous prime is 102022010211193. The next prime is 102022010211203. The reversal of 102022010211200 is 2112010220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022010211203) by changing a digit.

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, 336863039 + ... + 337165761.

It is an arithmetic number, because the mean of its divisors is an integer number (723892549050).

Almost surely, 2^{102022010211200} is an apocalyptic number.

102022010211200 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 102022010211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138987369417600).

102022010211200 is an abundant number, since it is smaller than the sum of its proper divisors (175952728624000).

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

102022010211200 is a wasteful number, since it uses less digits than its factorization.

102022010211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303030 (or 303013 counting only the distinct ones).

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

Adding to 102022010211200 its reverse (2112010220201), we get a palindrome (104134020431401).

Subtracting from 102022010211200 its reverse (2112010220201), we obtain a palindrome (99909999990999).

The spelling of 102022010211200 in words is "one hundred two trillion, twenty-two billion, ten million, two hundred eleven thousand, two hundred".