101121012000201 has 8 divisors (see below), whose sum is σ = 134828513414944. Its totient is φ = 67413759292800.

The previous prime is 101121012000193. The next prime is 101121012000233. The reversal of 101121012000201 is 102000210121101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101121012000201 - 2³ = 101121012000193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101121012000301) 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 7 ways as a sum of consecutive naturals, for example, 61226056 + ... + 62855961.

It is an arithmetic number, because the mean of its divisors is an integer number (16853564176868).

Almost surely, 2^{101121012000201} is an apocalyptic number.

It is an amenable number.

101121012000201 is a deficient number, since it is larger than the sum of its proper divisors (33707501414743).

101121012000201 is a wasteful number, since it uses less digits than its factorization.

101121012000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124353671.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121012000201 its reverse (102000210121101), we get a palindrome (203121222121302).

The spelling of 101121012000201 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, two hundred one", and thus it is an aban number.