11001005101 has 8 divisors (see below), whose sum is σ = 11093355000. Its totient is φ = 10908902400.

The previous prime is 11001005089. The next prime is 11001005117. The reversal of 11001005101 is 10150010011.

It can be written as a sum of positive squares in 4 ways, for example, as 1185149476 + 9815855625 = 34426^2 + 99075^2 .

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 11001005101 - 2¹¹ = 11001003053 is a prime.

It is a super-2 number, since 2×11001005101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001005161) 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, 28125 + ... + 150973.

It is an arithmetic number, because the mean of its divisors is an integer number (1386669375).

Almost surely, 2^11001005101 is an apocalyptic number.

It is an amenable number.

11001005101 is a deficient number, since it is larger than the sum of its proper divisors (92349899).

11001005101 is a wasteful number, since it uses less digits than its factorization.

11001005101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123599.

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

Adding to 11001005101 its reverse (10150010011), we get a palindrome (21151015112).

The spelling of 11001005101 in words is "eleven billion, one million, five thousand, one hundred one".