1011100312201 has 12 divisors (see below), whose sum is σ = 1245364851348. Its totient is φ = 815677562112.

The previous prime is 1011100312163. The next prime is 1011100312219. The reversal of 1011100312201 is 1022130011101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 666959688976 + 344140623225 = 816676^2 + 586635^2 .

It is not a de Polignac number, because 1011100312201 - 2²⁵ = 1011066757769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011100312231) 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, 606902116 + ... + 606903781.

It is an arithmetic number, because the mean of its divisors is an integer number (103780404279).

Almost surely, 2^{1011100312201} is an apocalyptic number.

It is an amenable number.

1011100312201 is a deficient number, since it is larger than the sum of its proper divisors (234264539147).

1011100312201 is a wasteful number, since it uses less digits than its factorization.

1011100312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213805928 (or 1213805921 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1011100312201 its reverse (1022130011101), we get a palindrome (2033230323302).

The spelling of 1011100312201 in words is "one trillion, eleven billion, one hundred million, three hundred twelve thousand, two hundred one".