101111002011 has 24 divisors (see below), whose sum is σ = 148531391424. Its totient is φ = 66265824240.

The previous prime is 101111001991. The next prime is 101111002049. The reversal of 101111002011 is 110200111101.

It is not a de Polignac number, because 101111002011 - 2⁶ = 101111001947 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 = 101111001984 and 101111002002.

It is not an unprimeable number, because it can be changed into a prime (101111003011) 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 23 ways as a sum of consecutive naturals, for example, 125320 + ... + 466826.

It is an arithmetic number, because the mean of its divisors is an integer number (6188807976).

Almost surely, 2^101111002011 is an apocalyptic number.

101111002011 is a deficient number, since it is larger than the sum of its proper divisors (47420389413).

101111002011 is a wasteful number, since it uses less digits than its factorization.

101111002011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342071 (or 342068 counting only the distinct ones).

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

Adding to 101111002011 its reverse (110200111101), we get a palindrome (211311113112).

The spelling of 101111002011 in words is "one hundred one billion, one hundred eleven million, two thousand, eleven".