101211221121 has 16 divisors (see below), whose sum is σ = 135670798848. Its totient is φ = 67113849600.

The previous prime is 101211221119. The next prime is 101211221143. The reversal of 101211221121 is 121122112101.

It is a happy number.

It is not a de Polignac number, because 101211221121 - 2¹ = 101211221119 is a prime.

It is a super-2 number, since 2×101211221121² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101211221121.

It is not an unprimeable number, because it can be changed into a prime (101211221191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306736 + ... + 544526.

It is an arithmetic number, because the mean of its divisors is an integer number (8479424928).

Almost surely, 2^101211221121 is an apocalyptic number.

It is an amenable number.

101211221121 is a deficient number, since it is larger than the sum of its proper divisors (34459577727).

101211221121 is a wasteful number, since it uses less digits than its factorization.

101211221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238552.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101211221121 its reverse (121122112101), we get a palindrome (222333333222).

The spelling of 101211221121 in words is "one hundred one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".