20101101111 has 96 divisors (see below), whose sum is σ = 37326481920. Its totient is φ = 10140463872.

The previous prime is 20101101109. The next prime is 20101101113. The reversal of 20101101111 is 11110110102.

It is an interprime number because it is at equal distance from previous prime (20101101109) and next prime (20101101113).

It is not a de Polignac number, because 20101101111 - 2¹ = 20101101109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20101101093 and 20101101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101101113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1782256 + ... + 1793498.

It is an arithmetic number, because the mean of its divisors is an integer number (388817520).

Almost surely, 2^20101101111 is an apocalyptic number.

20101101111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20101101111 is a deficient number, since it is larger than the sum of its proper divisors (17225380809).

20101101111 is a wasteful number, since it uses less digits than its factorization.

20101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11365 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 20101101111 its reverse (11110110102), we get a palindrome (31211211213).

The spelling of 20101101111 in words is "twenty billion, one hundred one million, one hundred one thousand, one hundred eleven".