10100101001005 has 8 divisors (see below), whose sum is σ = 12143384392824. Its totient is φ = 8064572006400.

The previous prime is 10100101000903. The next prime is 10100101001021. The reversal of 10100101001005 is 50010010100101.

It can be written as a sum of positive squares in 4 ways, for example, as 255579791401 + 9844521209604 = 505549^2 + 3137598^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10100101001005 - 2⁷ = 10100101000877 is a prime.

It is a super-2 number, since 2×10100101001005² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100101000982 and 10100101001000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1938596436 + ... + 1938601645.

It is an arithmetic number, because the mean of its divisors is an integer number (1517923049103).

Almost surely, 2^{10100101001005} is an apocalyptic number.

It is an amenable number.

10100101001005 is a deficient number, since it is larger than the sum of its proper divisors (2043283391819).

10100101001005 is an equidigital number, since it uses as much as digits as its factorization.

10100101001005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877198607.

The product of its (nonzero) digits is 5, while the sum is 10.

Adding to 10100101001005 its reverse (50010010100101), we get a palindrome (60110111101106).

It can be divided in two parts, 1010010 and 1001005, that added together give a triangular number (2011015 = T₂₀₀₅).

The spelling of 10100101001005 in words is "ten trillion, one hundred billion, one hundred one million, one thousand, five".