101000101000111 has 4 divisors (see below), whose sum is σ = 101000145610224. Its totient is φ = 101000056390000.

The previous prime is 101000101000091. The next prime is 101000101000121. The reversal of 101000101000111 is 111000101000101.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000101000111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000101000094 and 101000101000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000101000121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18716515 + ... + 23501236.

It is an arithmetic number, because the mean of its divisors is an integer number (25250036402556).

Almost surely, 2^{101000101000111} is an apocalyptic number.

101000101000111 is a deficient number, since it is larger than the sum of its proper divisors (44610113).

101000101000111 is an equidigital number, since it uses as much as digits as its factorization.

101000101000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44610112.

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

Adding to 101000101000111 its reverse (111000101000101), we get a palindrome (212000202000212).

The spelling of 101000101000111 in words is "one hundred one trillion, one hundred one million, one hundred eleven", and thus it is an aban number.