101101110200 has 96 divisors (see below), whose sum is σ = 237390341760. Its totient is φ = 40040956800.

The previous prime is 101101110181. The next prime is 101101110277. The reversal of 101101110200 is 2011101101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12231269 + ... + 12239531.

It is an arithmetic number, because the mean of its divisors is an integer number (2472816060).

Almost surely, 2^101101110200 is an apocalyptic number.

101101110200 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 101101110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118695170880).

101101110200 is an abundant number, since it is smaller than the sum of its proper divisors (136289231560).

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

101101110200 is a wasteful number, since it uses less digits than its factorization.

101101110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8877 (or 8868 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101101110200 its reverse (2011101101), we get a palindrome (103112211301).

Subtracting from 101101110200 its reverse (2011101101), we obtain a palindrome (99090009099).

The spelling of 101101110200 in words is "one hundred one billion, one hundred one million, one hundred ten thousand, two hundred".