101100101100200 has 192 divisors, whose sum is σ = 249259296384000. Its totient is φ = 38003964272640.

The previous prime is 101100101100197. The next prime is 101100101100253. The reversal of 101100101100200 is 2001101001101.

It is a happy number.

It is a super-2 number, since 2×101100101100200² (a number of 29 digits) contains 22 as substring.

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

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, 7757232884 + ... + 7757245916.

It is an arithmetic number, because the mean of its divisors is an integer number (1298225502000).

Almost surely, 2^{101100101100200} is an apocalyptic number.

101100101100200 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 101100101100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124629648192000).

101100101100200 is an abundant number, since it is smaller than the sum of its proper divisors (148159195283800).

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

101100101100200 is a wasteful number, since it uses less digits than its factorization.

101100101100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16324 (or 16315 counting only the distinct ones).

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

Adding to 101100101100200 its reverse (2001101001101), we get a palindrome (103101202101301).

Subtracting from 101100101100200 its reverse (2001101001101), we obtain a palindrome (99099000099099).

The spelling of 101100101100200 in words is "one hundred one trillion, one hundred billion, one hundred one million, one hundred thousand, two hundred".