10101111100111 has 8 divisors (see below), whose sum is σ = 10145321215200. Its totient is φ = 10056901859040.

The previous prime is 10101111100043. The next prime is 10101111100123. The reversal of 10101111100111 is 11100111110101.

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 10101111100111 - 2¹¹ = 10101111098063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111100411) 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, 36161721 + ... + 36439981.

It is an arithmetic number, because the mean of its divisors is an integer number (1268165151900).

Almost surely, 2^{10101111100111} is an apocalyptic number.

10101111100111 is a deficient number, since it is larger than the sum of its proper divisors (44210115089).

10101111100111 is a wasteful number, since it uses less digits than its factorization.

10101111100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437009.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10101111100111 its reverse (11100111110101), we get a palindrome (21201222210212).

The spelling of 10101111100111 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred thousand, one hundred eleven".