101006005110605 has 64 divisors (see below), whose sum is σ = 140572781268480. Its totient is φ = 68244280372224.

The previous prime is 101006005110541. The next prime is 101006005110683. The reversal of 101006005110605 is 506011500600101.

It is a cyclic number.

It is not a de Polignac number, because 101006005110605 - 2⁶ = 101006005110541 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 493676987 + ... + 493881543.

It is an arithmetic number, because the mean of its divisors is an integer number (2196449707320).

Almost surely, 2^{101006005110605} is an apocalyptic number.

It is an amenable number.

101006005110605 is a deficient number, since it is larger than the sum of its proper divisors (39566776157875).

101006005110605 is a wasteful number, since it uses less digits than its factorization.

101006005110605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205398.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 101006005110605 its reverse (506011500600101), we get a palindrome (607017505710706).

The spelling of 101006005110605 in words is "one hundred one trillion, six billion, five million, one hundred ten thousand, six hundred five".