4100012100121 has 32 divisors (see below), whose sum is σ = 4847420160000. Its totient is φ = 3466067688720.

The previous prime is 4100012100113. The next prime is 4100012100179. The reversal of 4100012100121 is 1210012100014.

It is not a de Polignac number, because 4100012100121 - 2³ = 4100012100113 is a prime.

It is a super-2 number, since 2×4100012100121² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4100012101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7044180 + ... + 7603978.

It is an arithmetic number, because the mean of its divisors is an integer number (151481880000).

Almost surely, 2^{4100012100121} is an apocalyptic number.

It is an amenable number.

4100012100121 is a deficient number, since it is larger than the sum of its proper divisors (747408059879).

4100012100121 is a wasteful number, since it uses less digits than its factorization.

4100012100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560114 (or 560100 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 4100012100121 its reverse (1210012100014), we get a palindrome (5310024200135).

The spelling of 4100012100121 in words is "four trillion, one hundred billion, twelve million, one hundred thousand, one hundred twenty-one".