101100221120 has 56 divisors (see below), whose sum is σ = 240814823424. Its totient is φ = 40428343296.

The previous prime is 101100221087. The next prime is 101100221141. The reversal of 101100221120 is 21122001101.

It is a super-3 number, since 3×101100221120³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1102472 + ... + 1190648.

It is an arithmetic number, because the mean of its divisors is an integer number (4300264704).

Almost surely, 2^101100221120 is an apocalyptic number.

101100221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100221120 is an abundant number, since it is smaller than the sum of its proper divisors (139714602304).

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

101100221120 is an equidigital number, since it uses as much as digits as its factorization.

101100221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91777 (or 91767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101100221120 its reverse (21122001101), we get a palindrome (122222222221).

The spelling of 101100221120 in words is "one hundred one billion, one hundred million, two hundred twenty-one thousand, one hundred twenty".