10100101110111 has 8 divisors (see below), whose sum is σ = 14963112755760. Its totient is φ = 6733400740056.

The previous prime is 10100101110109. The next prime is 10100101110119. The reversal of 10100101110111 is 11101110100101.

It is not a de Polignac number, because 10100101110111 - 2¹ = 10100101110109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10100101110093 and 10100101110102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100101110119) 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, 187038909420 + ... + 187038909473.

It is an arithmetic number, because the mean of its divisors is an integer number (1870389094470).

Almost surely, 2^{10100101110111} is an apocalyptic number.

10100101110111 is a deficient number, since it is larger than the sum of its proper divisors (4863011645649).

10100101110111 is an equidigital number, since it uses as much as digits as its factorization.

10100101110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374077818902 (or 374077818896 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10100101110111 its reverse (11101110100101), we get a palindrome (21201211210212).

The spelling of 10100101110111 in words is "ten trillion, one hundred billion, one hundred one million, one hundred ten thousand, one hundred eleven".