112121102011201 has 2 divisors, whose sum is σ = 112121102011202. Its totient is φ = 112121102011200.

The previous prime is 112121102011189. The next prime is 112121102011271. The reversal of 112121102011201 is 102110201121211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86106522009600 + 26014580001601 = 9279360^2 + 5100449^2 .

It is a cyclic number.

It is not a de Polignac number, because 112121102011201 - 2³⁵ = 112086742272833 is a prime.

It is a super-2 number, since 2×112121102011201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112121102011271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060551005600 + 56060551005601.

It is an arithmetic number, because the mean of its divisors is an integer number (56060551005601).

Almost surely, 2^{112121102011201} is an apocalyptic number.

It is an amenable number.

112121102011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121102011201 is an equidigital number, since it uses as much as digits as its factorization.

112121102011201 is an evil number, because the sum of its binary digits is even.

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

Adding to 112121102011201 its reverse (102110201121211), we get a palindrome (214231303132412).

It can be divided in two parts, 11 and 2121102011201, that added together give a palindrome (2121102011212).

The spelling of 112121102011201 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred two million, eleven thousand, two hundred one".