101011221121 has 8 divisors (see below), whose sum is σ = 106331925600. Its totient is φ = 95690949120.

The previous prime is 101011221041. The next prime is 101011221127. The reversal of 101011221121 is 121122110101.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101011221121 is a prime.

It is a super-3 number, since 3×101011221121³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011221127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443526 + ... + 631456.

It is an arithmetic number, because the mean of its divisors is an integer number (13291490700).

Almost surely, 2^101011221121 is an apocalyptic number.

It is an amenable number.

101011221121 is a deficient number, since it is larger than the sum of its proper divisors (5320704479).

101011221121 is a wasteful number, since it uses less digits than its factorization.

101011221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216239.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101011221121 its reverse (121122110101), we get a palindrome (222133331222).

The spelling of 101011221121 in words is "one hundred one billion, eleven million, two hundred twenty-one thousand, one hundred twenty-one".