101013101011 has 32 divisors (see below), whose sum is σ = 109606887936. Its totient is φ = 92850912000.

The previous prime is 101013100997. The next prime is 101013101017. The reversal of 101013101011 is 110101310101.

It is a cyclic number.

It is not a de Polignac number, because 101013101011 - 2¹⁹ = 101012576723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101013101017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18260316 + ... + 18265846.

It is an arithmetic number, because the mean of its divisors is an integer number (3425215248).

Almost surely, 2^101013101011 is an apocalyptic number.

101013101011 is a deficient number, since it is larger than the sum of its proper divisors (8593786925).

101013101011 is a wasteful number, since it uses less digits than its factorization.

101013101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101013101011 its reverse (110101310101), we get a palindrome (211114411112).

The spelling of 101013101011 in words is "one hundred one billion, thirteen million, one hundred one thousand, eleven".