101000001020011 has 16 divisors (see below), whose sum is σ = 107107276356000. Its totient is φ = 94972809754368.

The previous prime is 101000001019991. The next prime is 101000001020053. The reversal of 101000001020011 is 110020100000101.

It is a cyclic number.

It is not a de Polignac number, because 101000001020011 - 2¹⁷ = 101000000888939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000001019976 and 101000001020003.

It is not an unprimeable number, because it can be changed into a prime (101000001020111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9105186 + ... + 16879111.

It is an arithmetic number, because the mean of its divisors is an integer number (6694204772250).

Almost surely, 2^{101000001020011} is an apocalyptic number.

101000001020011 is a deficient number, since it is larger than the sum of its proper divisors (6107275335989).

101000001020011 is a wasteful number, since it uses less digits than its factorization.

101000001020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25985838.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101000001020011 its reverse (110020100000101), we get a palindrome (211020101020112).

The spelling of 101000001020011 in words is "one hundred one trillion, one million, twenty thousand, eleven".