101211221121121 has 8 divisors (see below), whose sum is σ = 101490623377920. Its totient is φ = 100931838551808.

The previous prime is 101211221121083. The next prime is 101211221121137. The reversal of 101211221121121 is 121121122112101.

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

It is a cyclic number.

It is not a de Polignac number, because 101211221121121 - 2¹⁵ = 101211221088353 is a prime.

It is a super-2 number, since 2×101211221121121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101211221121221) 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, 5403960 + ... + 15219238.

It is an arithmetic number, because the mean of its divisors is an integer number (12686327922240).

Almost surely, 2^{101211221121121} is an apocalyptic number.

It is an amenable number.

101211221121121 is a deficient number, since it is larger than the sum of its proper divisors (279402256799).

101211221121121 is an equidigital number, since it uses as much as digits as its factorization.

101211221121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9843743.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 101211221121121 its reverse (121121122112101), we get a palindrome (222332343233222).

The spelling of 101211221121121 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".