101102202201100 has 144 divisors (see below), whose sum is σ = 233801704483200. Its totient is φ = 37837765854720.

The previous prime is 101102202201079. The next prime is 101102202201131. The reversal of 101102202201100 is 1102202201101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463371232 + ... + 463589368.

It is an arithmetic number, because the mean of its divisors is an integer number (1623622947800).

Almost surely, 2^{101102202201100} is an apocalyptic number.

101102202201100 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 101102202201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116900852241600).

101102202201100 is an abundant number, since it is smaller than the sum of its proper divisors (132699502282100).

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

101102202201100 is a wasteful number, since it uses less digits than its factorization.

101102202201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221192 (or 221185 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101102202201100 its reverse (1102202201101), we get a palindrome (102204404402201).

Subtracting from 101102202201100 its reverse (1102202201101), we obtain a palindrome (99999999999999).

The spelling of 101102202201100 in words is "one hundred one trillion, one hundred two billion, two hundred two million, two hundred one thousand, one hundred".