112112002001 has 2 divisors, whose sum is σ = 112112002002. Its totient is φ = 112112002000.

The previous prime is 112112001943. The next prime is 112112002007. The reversal of 112112002001 is 100200211211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75928353601 + 36183648400 = 275551^2 + 190220^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112002001 - 2²⁶ = 112044893137 is a prime.

It is not a weakly prime, because it can be changed into another prime (112112002007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056001000 + 56056001001.

It is an arithmetic number, because the mean of its divisors is an integer number (56056001001).

Almost surely, 2^112112002001 is an apocalyptic number.

It is an amenable number.

112112002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112002001 is an equidigital number, since it uses as much as digits as its factorization.

112112002001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112112002001 its reverse (100200211211), we get a palindrome (212312213212).

The spelling of 112112002001 in words is "one hundred twelve billion, one hundred twelve million, two thousand, one".