10112120122001 has 2 divisors, whose sum is σ = 10112120122002. Its totient is φ = 10112120122000.

The previous prime is 10112120121991. The next prime is 10112120122057. The reversal of 10112120122001 is 10022102121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8544215456401 + 1567904665600 = 2923049^2 + 1252160^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112120122001 - 2¹⁸ = 10112119859857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10112120122501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056060061000 + 5056060061001.

It is an arithmetic number, because the mean of its divisors is an integer number (5056060061001).

Almost surely, 2^{10112120122001} is an apocalyptic number.

It is an amenable number.

10112120122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112120122001 is an equidigital number, since it uses as much as digits as its factorization.

10112120122001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10112120122001 its reverse (10022102121101), we get a palindrome (20134222243102).

Subtracting from 10112120122001 its reverse (10022102121101), we obtain a square (90018000900 = 300030²).

The spelling of 10112120122001 in words is "ten trillion, one hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, one".