101213102110200 has 192 divisors, whose sum is σ = 314572616064000. Its totient is φ = 26920401123840.

The previous prime is 101213102110187. The next prime is 101213102110201. The reversal of 101213102110200 is 2011201312101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101213102110200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101213102110201) 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, 361804782 + ... + 362084418.

It is an arithmetic number, because the mean of its divisors is an integer number (1638399042000).

Almost surely, 2^{101213102110200} is an apocalyptic number.

101213102110200 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 101213102110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157286308032000).

101213102110200 is an abundant number, since it is smaller than the sum of its proper divisors (213359513953800).

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

101213102110200 is a wasteful number, since it uses less digits than its factorization.

101213102110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281214 (or 281205 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101213102110200 its reverse (2011201312101), we get a palindrome (103224303422301).

The spelling of 101213102110200 in words is "one hundred one trillion, two hundred thirteen billion, one hundred two million, one hundred ten thousand, two hundred".