101200101121201 has 16 divisors (see below), whose sum is σ = 101838838727808. Its totient is φ = 100563424790400.

The previous prime is 101200101121159. The next prime is 101200101121303. The reversal of 101200101121201 is 102121101002101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101200101121201 - 2⁹ = 101200101120689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101200101121001) 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, 1459420791 + ... + 1459490131.

It is an arithmetic number, because the mean of its divisors is an integer number (6364927420488).

Almost surely, 2^{101200101121201} is an apocalyptic number.

It is an amenable number.

101200101121201 is a deficient number, since it is larger than the sum of its proper divisors (638737606607).

101200101121201 is a wasteful number, since it uses less digits than its factorization.

101200101121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84072.

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

Adding to 101200101121201 its reverse (102121101002101), we get a palindrome (203321202123302).

The spelling of 101200101121201 in words is "one hundred one trillion, two hundred billion, one hundred one million, one hundred twenty-one thousand, two hundred one".