101112021001201 has 16 divisors (see below), whose sum is σ = 116935741912320. Its totient is φ = 85634432674560.

The previous prime is 101112021001193. The next prime is 101112021001253. The reversal of 101112021001201 is 102100120211101.

It is a happy number.

It is not a de Polignac number, because 101112021001201 - 2³ = 101112021001193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112021001601) 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, 55179580 + ... + 56982541.

It is an arithmetic number, because the mean of its divisors is an integer number (7308483869520).

Almost surely, 2^{101112021001201} is an apocalyptic number.

It is an amenable number.

101112021001201 is a deficient number, since it is larger than the sum of its proper divisors (15823720911119).

101112021001201 is a wasteful number, since it uses less digits than its factorization.

101112021001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112163664.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101112021001201 its reverse (102100120211101), we get a palindrome (203212141212302).

The spelling of 101112021001201 in words is "one hundred one trillion, one hundred twelve billion, twenty-one million, one thousand, two hundred one".