1006001010101 has 8 divisors (see below), whose sum is σ = 1007711198208. Its totient is φ = 1004291190000.

The previous prime is 1006001010067. The next prime is 1006001010103. The reversal of 1006001010101 is 1010101006001.

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

It is a cyclic number.

It is not a de Polignac number, because 1006001010101 - 2⁶ = 1006001010037 is a prime.

It is a super-3 number, since 3×1006001010101³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

1006001010101 is a modest number, since divided by 1010101 gives 10060 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006001010103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5687171 + ... + 5861391.

It is an arithmetic number, because the mean of its divisors is an integer number (125963899776).

Almost surely, 2^{1006001010101} is an apocalyptic number.

It is an amenable number.

1006001010101 is a deficient number, since it is larger than the sum of its proper divisors (1710188107).

1006001010101 is an equidigital number, since it uses as much as digits as its factorization.

1006001010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184003.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1006001010101 its reverse (1010101006001), we get a palindrome (2016102016102).

The spelling of 1006001010101 in words is "one trillion, six billion, one million, ten thousand, one hundred one".