406135616006101 has 2 divisors, whose sum is σ = 406135616006102. Its totient is φ = 406135616006100.

The previous prime is 406135616006069. The next prime is 406135616006201. The reversal of 406135616006101 is 101600616531604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 387373290603601 + 18762325402500 = 19681801^2 + 4331550^2 .

It is a cyclic number.

It is not a de Polignac number, because 406135616006101 - 2⁵ = 406135616006069 is a prime.

It is a super-2 number, since 2×406135616006101² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406135616006201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203067808003050 + 203067808003051.

It is an arithmetic number, because the mean of its divisors is an integer number (203067808003051).

Almost surely, 2^{406135616006101} is an apocalyptic number.

It is an amenable number.

406135616006101 is a deficient number, since it is larger than the sum of its proper divisors (1).

406135616006101 is an equidigital number, since it uses as much as digits as its factorization.

406135616006101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 406135616006101 in words is "four hundred six trillion, one hundred thirty-five billion, six hundred sixteen million, six thousand, one hundred one".