101000001100111 has 8 divisors (see below), whose sum is σ = 105391487545344. Its totient is φ = 96608529825720.

The previous prime is 101000001100073. The next prime is 101000001100123. The reversal of 101000001100111 is 111001100000101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101000001100111 - 2¹⁷ = 101000000969039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101000001100094 and 101000001100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000001100171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11047246 + ... + 18001156.

It is an arithmetic number, because the mean of its divisors is an integer number (13173935943168).

Almost surely, 2^{101000001100111} is an apocalyptic number.

101000001100111 is a deficient number, since it is larger than the sum of its proper divisors (4391486445233).

101000001100111 is an equidigital number, since it uses as much as digits as its factorization.

101000001100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585421.

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

Adding to 101000001100111 its reverse (111001100000101), we get a palindrome (212001101100212).

The spelling of 101000001100111 in words is "one hundred one trillion, one million, one hundred thousand, one hundred eleven".