112201011011201 has 12 divisors (see below), whose sum is σ = 130582626933780. Its totient is φ = 96125812564320.

The previous prime is 112201011011149. The next prime is 112201011011237. The reversal of 112201011011201 is 102110110102211.

It can be written as a sum of positive squares in 2 ways, for example, as 30277242130576 + 81923768880625 = 5502476^2 + 9051175^2 .

It is not a de Polignac number, because 112201011011201 - 2¹⁸ = 112201010749057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112201011011291) 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, 553261730 + ... + 553464491.

It is an arithmetic number, because the mean of its divisors is an integer number (10881885577815).

Almost surely, 2^{112201011011201} is an apocalyptic number.

It is an amenable number.

112201011011201 is a deficient number, since it is larger than the sum of its proper divisors (18381615922579).

112201011011201 is a wasteful number, since it uses less digits than its factorization.

112201011011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106728304 (or 1106728297 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112201011011201 its reverse (102110110102211), we get a palindrome (214311121113412).

The spelling of 112201011011201 in words is "one hundred twelve trillion, two hundred one billion, eleven million, eleven thousand, two hundred one".