101013011 has 16 divisors (see below), whose sum is σ = 114421248. Its totient is φ = 88375200.

The previous prime is 101012999. The next prime is 101013013. The reversal of 101013011 is 110310101.

It is a cyclic number.

It is not a de Polignac number, because 101013011 - 2²⁶ = 33904147 is a prime.

It is a super-2 number, since 2×101013011² = 20407256782572242, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101013011.

It is not an unprimeable number, because it can be changed into a prime (101013013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29936 + ... + 33138.

It is an arithmetic number, because the mean of its divisors is an integer number (7151328).

Almost surely, 2^101013011 is an apocalyptic number.

101013011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101013011 is a deficient number, since it is larger than the sum of its proper divisors (13408237).

101013011 is a wasteful number, since it uses less digits than its factorization.

101013011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 101013011 is about 10050.5229217190. The cubic root of 101013011 is about 465.7209473972.

Adding to 101013011 its reverse (110310101), we get a palindrome (211323112).

The spelling of 101013011 in words is "one hundred one million, thirteen thousand, eleven".