100101100002200 has 144 divisors (see below), whose sum is σ = 255828753802440. Its totient is φ = 36398616601600.

The previous prime is 100101100002151. The next prime is 100101100002257. The reversal of 100101100002200 is 2200001101001.

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 35 ways as a sum of consecutive naturals, for example, 557163584 + ... + 557343216.

Almost surely, 2^{100101100002200} is an apocalyptic number.

100101100002200 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 100101100002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127914376901220).

100101100002200 is an abundant number, since it is smaller than the sum of its proper divisors (155727653800240).

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

100101100002200 is a wasteful number, since it uses less digits than its factorization.

100101100002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202698 (or 202678 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100101100002200 its reverse (2200001101001), we get a palindrome (102301101103201).

The spelling of 100101100002200 in words is "one hundred trillion, one hundred one billion, one hundred million, two thousand, two hundred".