111101000101 has 24 divisors (see below), whose sum is σ = 143980857720. Its totient is φ = 84872898432.

The previous prime is 111101000077. The next prime is 111101000123. The reversal of 111101000101 is 101000101111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14860829025 + 96240171076 = 121905^2 + 310226^2 .

It is not a de Polignac number, because 111101000101 - 2⁵ = 111101000069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101030101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2988646 + ... + 3025591.

It is an arithmetic number, because the mean of its divisors is an integer number (5999202405).

Almost surely, 2^111101000101 is an apocalyptic number.

It is an amenable number.

111101000101 is a deficient number, since it is larger than the sum of its proper divisors (32879857619).

111101000101 is a wasteful number, since it uses less digits than its factorization.

111101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014293 (or 6014286 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 111101000101 its reverse (101000101111), we get a palindrome (212101101212).

It can be divided in two parts, 111 and 101000101, that multiplied together give a palindrome (11211011211).

The spelling of 111101000101 in words is "one hundred eleven billion, one hundred one million, one hundred one", and thus it is an aban number.