101006101061005 has 24 divisors (see below), whose sum is σ = 140998515098112. Its totient is φ = 69260224414752.

The previous prime is 101006101060961. The next prime is 101006101061023. The reversal of 101006101061005 is 500160101600101.

It is not a de Polignac number, because 101006101061005 - 2⁹ = 101006101060493 is a prime.

It is a super-2 number, since 2×101006101061005² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12300324 + ... + 18796546.

It is an arithmetic number, because the mean of its divisors is an integer number (5874938129088).

Almost surely, 2^{101006101061005} is an apocalyptic number.

It is an amenable number.

101006101061005 is a deficient number, since it is larger than the sum of its proper divisors (39992414037107).

101006101061005 is an equidigital number, since it uses as much as digits as its factorization.

101006101061005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6559705 (or 6559698 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

Adding to 101006101061005 its reverse (500160101600101), we get a palindrome (601166202661106).

The spelling of 101006101061005 in words is "one hundred one trillion, six billion, one hundred one million, sixty-one thousand, five".