101222103111201 has 12 divisors (see below), whose sum is σ = 146214724258980. Its totient is φ = 67479085259520.

The previous prime is 101222103111191. The next prime is 101222103111253. The reversal of 101222103111201 is 102111301222101.

It is a happy number.

101222103111201 is a `hidden beast` number, since 1 + 0 + 1 + 22 + 210 + 311 + 120 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34054227360000 + 67167875751201 = 5835600^2 + 8195601^2 .

It is not a de Polignac number, because 101222103111201 - 2⁴² = 96824056600097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101222103111001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192791160 + ... + 193315481.

It is an arithmetic number, because the mean of its divisors is an integer number (12184560354915).

Almost surely, 2^{101222103111201} is an apocalyptic number.

It is an amenable number.

101222103111201 is a deficient number, since it is larger than the sum of its proper divisors (44992621147779).

101222103111201 is a wasteful number, since it uses less digits than its factorization.

101222103111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386135776 (or 386135773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101222103111201 its reverse (102111301222101), we get a palindrome (203333404333302).

The spelling of 101222103111201 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred three million, one hundred eleven thousand, two hundred one".