101201000200001 has 32 divisors (see below), whose sum is σ = 118730728704000. Its totient is φ = 85409770699008.

The previous prime is 101201000199997. The next prime is 101201000200033. The reversal of 101201000200001 is 100002000102101.

It is a cyclic number.

It is not a de Polignac number, because 101201000200001 - 2² = 101201000199997 is a prime.

It is a super-3 number, since 3×101201000200001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101201006200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12882911 + ... + 19193003.

It is an arithmetic number, because the mean of its divisors is an integer number (3710335272000).

Almost surely, 2^{101201000200001} is an apocalyptic number.

It is an amenable number.

101201000200001 is a deficient number, since it is larger than the sum of its proper divisors (17529728503999).

101201000200001 is a wasteful number, since it uses less digits than its factorization.

101201000200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312393.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101201000200001 its reverse (100002000102101), we get a palindrome (201203000302102).

The spelling of 101201000200001 in words is "one hundred one trillion, two hundred one billion, two hundred thousand, one".