101022121110200 has 192 divisors, whose sum is σ = 239485921920000. Its totient is φ = 39622214016000.

The previous prime is 101022121110191. The next prime is 101022121110223. The reversal of 101022121110200 is 2011121220101.

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, 7886801396 + ... + 7886814204.

It is an arithmetic number, because the mean of its divisors is an integer number (1247322510000).

Almost surely, 2^{101022121110200} is an apocalyptic number.

101022121110200 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 101022121110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119742960960000).

101022121110200 is an abundant number, since it is smaller than the sum of its proper divisors (138463800809800).

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

101022121110200 is a wasteful number, since it uses less digits than its factorization.

101022121110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15886 (or 15877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022121110200 its reverse (2011121220101), we get a palindrome (103033242330301).

The spelling of 101022121110200 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-one million, one hundred ten thousand, two hundred".