10100101000111 has 8 divisors (see below), whose sum is σ = 10425962594304. Its totient is φ = 9774242648760.

The previous prime is 10100101000103. The next prime is 10100101000141. The reversal of 10100101000111 is 11100010100101.

It is a happy number.

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

It is not a de Polignac number, because 10100101000111 - 2³ = 10100101000103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100101000094 and 10100101000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101000141) 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, 6592026 + ... + 7978408.

It is an arithmetic number, because the mean of its divisors is an integer number (1303245324288).

Almost surely, 2^{10100101000111} is an apocalyptic number.

10100101000111 is a deficient number, since it is larger than the sum of its proper divisors (325861594193).

10100101000111 is a wasteful number, since it uses less digits than its factorization.

10100101000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621421.

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

Adding to 10100101000111 its reverse (11100010100101), we get a palindrome (21200111100212).

The spelling of 10100101000111 in words is "ten trillion, one hundred billion, one hundred one million, one hundred eleven", and thus it is an aban number.