101121223130200 has 192 divisors, whose sum is σ = 289371650904000. Its totient is φ = 32002162698240.

The previous prime is 101121223130197. The next prime is 101121223130393. The reversal of 101121223130200 is 2031322121101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718993486 + ... + 719134114.

It is an arithmetic number, because the mean of its divisors is an integer number (1507144015125).

Almost surely, 2^{101121223130200} is an apocalyptic number.

101121223130200 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 101121223130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144685825452000).

101121223130200 is an abundant number, since it is smaller than the sum of its proper divisors (188250427773800).

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

101121223130200 is a wasteful number, since it uses less digits than its factorization.

101121223130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180174 (or 180165 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101121223130200 its reverse (2031322121101), we get a palindrome (103152545251301).

The spelling of 101121223130200 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-three million, one hundred thirty thousand, two hundred".