11006010100029 has 16 divisors (see below), whose sum is σ = 17113329603200. Its totient is φ = 6289148628000.

The previous prime is 11006010100009. The next prime is 11006010100061. The reversal of 11006010100029 is 92000101060011.

It is not a de Polignac number, because 11006010100029 - 2¹¹ = 11006010097981 is a prime.

It is a super-2 number, since 2×11006010100029² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11006010099978 and 11006010100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006010100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5347914472 + ... + 5347916529.

It is an arithmetic number, because the mean of its divisors is an integer number (1069583100200).

Almost surely, 2^{11006010100029} is an apocalyptic number.

It is an amenable number.

11006010100029 is a deficient number, since it is larger than the sum of its proper divisors (6107319503171).

11006010100029 is an equidigital number, since it uses as much as digits as its factorization.

11006010100029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695831025 (or 10695831011 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 11006010100029 in words is "eleven trillion, six billion, ten million, one hundred thousand, twenty-nine".