101440001011 has 16 divisors (see below), whose sum is σ = 107994474720. Its totient is φ = 94951180800.

The previous prime is 101440000969. The next prime is 101440001017. The reversal of 101440001011 is 110100044101.

It is a cyclic number.

It is not a de Polignac number, because 101440001011 - 2²¹ = 101437903859 is a prime.

It is a super-2 number, since 2×101440001011² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101440000982 and 101440001000.

It is not an unprimeable number, because it can be changed into a prime (101440001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12517861 + ... + 12525961.

It is an arithmetic number, because the mean of its divisors is an integer number (6749654670).

Almost surely, 2^101440001011 is an apocalyptic number.

101440001011 is a deficient number, since it is larger than the sum of its proper divisors (6554473709).

101440001011 is a wasteful number, since it uses less digits than its factorization.

101440001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12054.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101440001011 its reverse (110100044101), we get a palindrome (211540045112).

The spelling of 101440001011 in words is "one hundred one billion, four hundred forty million, one thousand, eleven".