101001121220121 has 16 divisors (see below), whose sum is σ = 148789375507584. Its totient is φ = 60617893723904.

The previous prime is 101001121220093. The next prime is 101001121220141. The reversal of 101001121220121 is 121022121100101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101001121220121 - 2⁷ = 101001121219993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101001121220121.

It is not an unprimeable number, because it can be changed into a prime (101001121220141) 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, 43052480166 + ... + 43052482511.

It is an arithmetic number, because the mean of its divisors is an integer number (9299335969224).

Almost surely, 2^{101001121220121} is an apocalyptic number.

It is an amenable number.

101001121220121 is a deficient number, since it is larger than the sum of its proper divisors (47788254287463).

101001121220121 is a wasteful number, since it uses less digits than its factorization.

101001121220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86104962720.

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

Adding to 101001121220121 its reverse (121022121100101), we get a palindrome (222023242320222).

The spelling of 101001121220121 in words is "one hundred one trillion, one billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty-one".