101100221101100 has 36 divisors (see below), whose sum is σ = 236263439776224. Its totient is φ = 37329312406080.

The previous prime is 101100221101081. The next prime is 101100221101133. The reversal of 101100221101100 is 1101122001101.

It is a super-3 number, since 3×101100221101100³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38884699124 + ... + 38884701723.

Almost surely, 2^{101100221101100} is an apocalyptic number.

101100221101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100221101100 is an abundant number, since it is smaller than the sum of its proper divisors (135163218675124).

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

101100221101100 is a wasteful number, since it uses less digits than its factorization.

101100221101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77769400874 (or 77769400867 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101100221101100 its reverse (1101122001101), we get a palindrome (102201343102201).

Subtracting from 101100221101100 its reverse (1101122001101), we obtain a palindrome (99999099099999).

The spelling of 101100221101100 in words is "one hundred one trillion, one hundred billion, two hundred twenty-one million, one hundred one thousand, one hundred".