101100221121 has 8 divisors (see below), whose sum is σ = 135658896064. Its totient is φ = 66970846800.

The previous prime is 101100221087. The next prime is 101100221141. The reversal of 101100221121 is 121122001101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101100221121 - 2²⁷ = 100966003393 is a prime.

It is a super-3 number, since 3×101100221121³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101100221097 and 101100221106.

It is not an unprimeable number, because it can be changed into a prime (101100221141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107324605 + ... + 107325546.

It is an arithmetic number, because the mean of its divisors is an integer number (16957362008).

Almost surely, 2^101100221121 is an apocalyptic number.

It is an amenable number.

101100221121 is a deficient number, since it is larger than the sum of its proper divisors (34558674943).

101100221121 is a wasteful number, since it uses less digits than its factorization.

101100221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214650311.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101100221121 its reverse (121122001101), we get a palindrome (222222222222).

The spelling of 101100221121 in words is "one hundred one billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-one".