20101100111111 has 4 divisors (see below), whose sum is σ = 20101118226000. Its totient is φ = 20101081996224.

The previous prime is 20101100111101. The next prime is 20101100111159. The reversal of 20101100111111 is 11111100110102.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 20101100111111 - 2³⁴ = 20083920241927 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101100111092 and 20101100111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101100111101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7276211 + ... + 9651188.

It is an arithmetic number, because the mean of its divisors is an integer number (5025279556500).

Almost surely, 2^{20101100111111} is an apocalyptic number.

20101100111111 is a deficient number, since it is larger than the sum of its proper divisors (18114889).

20101100111111 is a wasteful number, since it uses less digits than its factorization.

20101100111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18114888.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 20101100111111 its reverse (11111100110102), we get a palindrome (31212200221213).

The spelling of 20101100111111 in words is "twenty trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred eleven".