101110200222200 has 768 divisors, whose sum is σ = 275774693040000. Its totient is φ = 34144156385280.

The previous prime is 101110200222173. The next prime is 101110200222221. The reversal of 101110200222200 is 2222002011101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59581731752 + ... + 59581733448.

Almost surely, 2^{101110200222200} is an apocalyptic number.

101110200222200 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 101110200222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137887346520000).

101110200222200 is an abundant number, since it is smaller than the sum of its proper divisors (174664492817800).

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

101110200222200 is a wasteful number, since it uses less digits than its factorization.

101110200222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2075 counting only the distinct ones).

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

Adding to 101110200222200 its reverse (2222002011101), we get a palindrome (103332202233301).

The spelling of 101110200222200 in words is "one hundred one trillion, one hundred ten billion, two hundred million, two hundred twenty-two thousand, two hundred".