101100221100 has 108 divisors (see below), whose sum is σ = 316986742800. Its totient is φ = 26952086400.

The previous prime is 101100221087. The next prime is 101100221141. The reversal of 101100221100 is 1122001101.

It is a happy number.

It is a super-3 number, since 3×101100221100³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 3424201 + ... + 3453599.

Almost surely, 2^101100221100 is an apocalyptic number.

101100221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100221100 is an abundant number, since it is smaller than the sum of its proper divisors (215886521700).

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

101100221100 is a wasteful number, since it uses less digits than its factorization.

101100221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33240 (or 33230 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101100221100 its reverse (1122001101), we get a palindrome (102222222201).

The spelling of 101100221100 in words is "one hundred one billion, one hundred million, two hundred twenty-one thousand, one hundred".