10101100000111 has 4 divisors (see below), whose sum is σ = 10101161522232. Its totient is φ = 10101038477992.

The previous prime is 10101100000067. The next prime is 10101100000151. The reversal of 10101100000111 is 11100000110101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10101100000111 - 2⁷ = 10101099999983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101100000094 and 10101100000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101100000151) 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, 30514120 + ... + 30843373.

It is an arithmetic number, because the mean of its divisors is an integer number (2525290380558).

Almost surely, 2^{10101100000111} is an apocalyptic number.

10101100000111 is a deficient number, since it is larger than the sum of its proper divisors (61522121).

10101100000111 is an equidigital number, since it uses as much as digits as its factorization.

10101100000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61522120.

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

Adding to 10101100000111 its reverse (11100000110101), we get a palindrome (21201100110212).

The spelling of 10101100000111 in words is "ten trillion, one hundred one billion, one hundred million, one hundred eleven", and thus it is an aban number.