4121662542001 has 2 divisors, whose sum is σ = 4121662542002. Its totient is φ = 4121662542000.

The previous prime is 4121662541999. The next prime is 4121662542091. The reversal of 4121662542001 is 1002452661214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2932395955776 + 1189266586225 = 1712424^2 + 1090535^2 .

It is a cyclic number.

It is not a de Polignac number, because 4121662542001 - 2¹ = 4121662541999 is a prime.

It is a super-2 number, since 2×4121662542001² (a number of 26 digits) contains 22 as substring.

Together with 4121662541999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4121662542091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2060831271000 + 2060831271001.

It is an arithmetic number, because the mean of its divisors is an integer number (2060831271001).

Almost surely, 2^{4121662542001} is an apocalyptic number.

It is an amenable number.

4121662542001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4121662542001 is an equidigital number, since it uses as much as digits as its factorization.

4121662542001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 4121662542001 in words is "four trillion, one hundred twenty-one billion, six hundred sixty-two million, five hundred forty-two thousand, one".