1011100020111 has 64 divisors (see below), whose sum is σ = 1568217661440. Its totient is φ = 643062447360.

The previous prime is 1011100020101. The next prime is 1011100020121. The reversal of 1011100020111 is 1110200011101.

It is an interprime number because it is at equal distance from previous prime (1011100020101) and next prime (1011100020121).

It is not a de Polignac number, because 1011100020111 - 2⁷ = 1011100019983 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 = 1011100020093 and 1011100020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198759010 + ... + 198764096.

It is an arithmetic number, because the mean of its divisors is an integer number (24503400960).

Almost surely, 2^{1011100020111} is an apocalyptic number.

1011100020111 is a deficient number, since it is larger than the sum of its proper divisors (557117641329).

1011100020111 is a wasteful number, since it uses less digits than its factorization.

1011100020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453 (or 8447 counting only the distinct ones).

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

Adding to 1011100020111 its reverse (1110200011101), we get a palindrome (2121300031212).

The spelling of 1011100020111 in words is "one trillion, eleven billion, one hundred million, twenty thousand, one hundred eleven".