102010122010200 has 192 divisors, whose sum is σ = 324815200853760. Its totient is φ = 26464473515520.

The previous prime is 102010122010177. The next prime is 102010122010201. The reversal of 102010122010200 is 2010221010201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010122010201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197833117 + ... + 198348083.

It is an arithmetic number, because the mean of its divisors is an integer number (1691745837780).

Almost surely, 2^{102010122010200} is an apocalyptic number.

102010122010200 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 102010122010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162407600426880).

102010122010200 is an abundant number, since it is smaller than the sum of its proper divisors (222805078843560).

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

102010122010200 is a wasteful number, since it uses less digits than its factorization.

102010122010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523946 (or 523937 counting only the distinct ones).

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

Adding to 102010122010200 its reverse (2010221010201), we get a palindrome (104020343020401).

Subtracting from 102010122010200 its reverse (2010221010201), we obtain a palindrome (99999900999999).

The spelling of 102010122010200 in words is "one hundred two trillion, ten billion, one hundred twenty-two million, ten thousand, two hundred".