4100012101121 has 2 divisors, whose sum is σ = 4100012101122. Its totient is φ = 4100012101120.

The previous prime is 4100012101013. The next prime is 4100012101151. The reversal of 4100012101121 is 1211012100014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2967833107600 + 1132178993521 = 1722740^2 + 1064039^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100012101121 - 2²⁶ = 4099944992257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4100012101096 and 4100012101105.

It is not a weakly prime, because it can be changed into another prime (4100012101151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050006050560 + 2050006050561.

It is an arithmetic number, because the mean of its divisors is an integer number (2050006050561).

Almost surely, 2^{4100012101121} is an apocalyptic number.

It is an amenable number.

4100012101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100012101121 is an equidigital number, since it uses as much as digits as its factorization.

4100012101121 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 14.

Adding to 4100012101121 its reverse (1211012100014), we get a palindrome (5311024201135).

The spelling of 4100012101121 in words is "four trillion, one hundred billion, twelve million, one hundred one thousand, one hundred twenty-one".