101200211121001 has 16 divisors (see below), whose sum is σ = 107413459283088. Its totient is φ = 95015908915200.

The previous prime is 101200211120977. The next prime is 101200211121011. The reversal of 101200211121001 is 100121112002101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5257500469776 + 95942710651225 = 2292924^2 + 9795035^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200211121001 - 2¹¹ = 101200211118953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101200211121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136192191 + ... + 136933243.

It is an arithmetic number, because the mean of its divisors is an integer number (6713341205193).

Almost surely, 2^{101200211121001} is an apocalyptic number.

It is an amenable number.

101200211121001 is a deficient number, since it is larger than the sum of its proper divisors (6213248162087).

101200211121001 is a wasteful number, since it uses less digits than its factorization.

101200211121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760572.

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

Adding to 101200211121001 its reverse (100121112002101), we get a palindrome (201321323123102).

The spelling of 101200211121001 in words is "one hundred one trillion, two hundred billion, two hundred eleven million, one hundred twenty-one thousand, one".