101000201011111 has 16 divisors (see below), whose sum is σ = 102679811688960. Its totient is φ = 99325733253120.

The previous prime is 101000201011063. The next prime is 101000201011147. The reversal of 101000201011111 is 111110102000101.

It is a cyclic number.

It is not a de Polignac number, because 101000201011111 - 2¹⁵ = 101000200978343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000201311111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167871655 + ... + 168472231.

It is an arithmetic number, because the mean of its divisors is an integer number (6417488230560).

Almost surely, 2^{101000201011111} is an apocalyptic number.

101000201011111 is a deficient number, since it is larger than the sum of its proper divisors (1679610677849).

101000201011111 is an equidigital number, since it uses as much as digits as its factorization.

101000201011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604854.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101000201011111 its reverse (111110102000101), we get a palindrome (212110303011212).

The spelling of 101000201011111 in words is "one hundred one trillion, two hundred one million, eleven thousand, one hundred eleven".