101121002000201 has 16 divisors (see below), whose sum is σ = 105236511621120. Its totient is φ = 97085988641040.

The previous prime is 101121002000177. The next prime is 101121002000261. The reversal of 101121002000201 is 102000200121101.

It is a cyclic number.

It is not a de Polignac number, because 101121002000201 - 2²² = 101120997805897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121002000261) 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, 24639896 + ... + 28449366.

It is an arithmetic number, because the mean of its divisors is an integer number (6577281976320).

Almost surely, 2^{101121002000201} is an apocalyptic number.

It is an amenable number.

101121002000201 is a deficient number, since it is larger than the sum of its proper divisors (4115509620919).

101121002000201 is a wasteful number, since it uses less digits than its factorization.

101121002000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820036.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101121002000201 its reverse (102000200121101), we get a palindrome (203121202121302).

The spelling of 101121002000201 in words is "one hundred one trillion, one hundred twenty-one billion, two million, two hundred one", and thus it is an aban number.