101101012221201 has 64 divisors (see below), whose sum is σ = 150383124633600. Its totient is φ = 60041170861056.

The previous prime is 101101012221191. The next prime is 101101012221227. The reversal of 101101012221201 is 102122210101101.

It is a happy number.

It is not a de Polignac number, because 101101012221201 - 2¹⁹ = 101101011696913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101012221241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5018157010 + ... + 5018177156.

It is an arithmetic number, because the mean of its divisors is an integer number (2349736322400).

Almost surely, 2^{101101012221201} is an apocalyptic number.

It is an amenable number.

101101012221201 is a deficient number, since it is larger than the sum of its proper divisors (49282112412399).

101101012221201 is a wasteful number, since it uses less digits than its factorization.

101101012221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24758.

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

Adding to 101101012221201 its reverse (102122210101101), we get a palindrome (203223222322302).

The spelling of 101101012221201 in words is "one hundred one trillion, one hundred one billion, twelve million, two hundred twenty-one thousand, two hundred one".