101212220001121 has 8 divisors (see below), whose sum is σ = 101228179409600. Its totient is φ = 101196261185040.

The previous prime is 101212220001107. The next prime is 101212220001149. The reversal of 101212220001121 is 121100022212101.

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 101212220001121 - 2²⁵ = 101212186446689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101212220001095 and 101212220001104.

It is not an unprimeable number, because it can be changed into a prime (101212220001161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443388706 + ... + 443616916.

It is an arithmetic number, because the mean of its divisors is an integer number (12653522426200).

Almost surely, 2^{101212220001121} is an apocalyptic number.

It is an amenable number.

101212220001121 is a deficient number, since it is larger than the sum of its proper divisors (15959408479).

101212220001121 is an equidigital number, since it uses as much as digits as its factorization.

101212220001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296199.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101212220001121 its reverse (121100022212101), we get a palindrome (222312242213222).

The spelling of 101212220001121 in words is "one hundred one trillion, two hundred twelve billion, two hundred twenty million, one thousand, one hundred twenty-one".