101121220121201 has 32 divisors (see below), whose sum is σ = 126587934570240. Its totient is φ = 78761754279936.

The previous prime is 101121220121149. The next prime is 101121220121203. The reversal of 101121220121201 is 102121022121101.

It is not a de Polignac number, because 101121220121201 - 2⁶ = 101121220121137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121220121201.

It is not an unprimeable number, because it can be changed into a prime (101121220121203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140777306 + ... + 141493788.

It is an arithmetic number, because the mean of its divisors is an integer number (3955872955320).

Almost surely, 2^{101121220121201} is an apocalyptic number.

It is an amenable number.

101121220121201 is a deficient number, since it is larger than the sum of its proper divisors (25466714449039).

101121220121201 is a wasteful number, since it uses less digits than its factorization.

101121220121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757433.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101121220121201 its reverse (102121022121101), we get a palindrome (203242242242302).

The spelling of 101121220121201 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, two hundred one".