101001101110200 has 336 divisors, whose sum is σ = 352285496336520. Its totient is φ = 26917928190720.

The previous prime is 101001101110193. The next prime is 101001101110241. The reversal of 101001101110200 is 2011101100101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 251012374 + ... + 251414426.

Almost surely, 2^{101001101110200} is an apocalyptic number.

101001101110200 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 101001101110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176142748168260).

101001101110200 is an abundant number, since it is smaller than the sum of its proper divisors (251284395226320).

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

101001101110200 is a wasteful number, since it uses less digits than its factorization.

101001101110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403810 (or 403786 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101001101110200 its reverse (2011101100101), we get a palindrome (103012202210301).

The spelling of 101001101110200 in words is "one hundred one trillion, one billion, one hundred one million, one hundred ten thousand, two hundred".