20101012222201 has 12 divisors (see below), whose sum is σ = 20346865377892. Its totient is φ = 19858094990496.

The previous prime is 20101012222153. The next prime is 20101012222223. The reversal of 20101012222201 is 10222221010102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11807470440000 + 8293541782201 = 3436200^2 + 2879851^2 .

It is a de Polignac number, because none of the positive numbers 2^k-20101012222201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101012222301) 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 11 ways as a sum of consecutive naturals, for example, 352392055 + ... + 352449091.

Almost surely, 2^{20101012222201} is an apocalyptic number.

It is an amenable number.

20101012222201 is a deficient number, since it is larger than the sum of its proper divisors (245853155691).

20101012222201 is an frugal number, since it uses more digits than its factorization.

20101012222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108360 (or 108277 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20101012222201 its reverse (10222221010102), we get a palindrome (30323233232303).

The spelling of 20101012222201 in words is "twenty trillion, one hundred one billion, twelve million, two hundred twenty-two thousand, two hundred one".