10100111011111 has 8 divisors (see below), whose sum is σ = 11073671280000. Its totient is φ = 9135778802040.

The previous prime is 10100111011103. The next prime is 10100111011117. The reversal of 10100111011111 is 11111011100101.

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 10100111011111 - 2³ = 10100111011103 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 (10100111011117) 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, 2307012661 + ... + 2307017038.

It is an arithmetic number, because the mean of its divisors is an integer number (1384208910000).

Almost surely, 2^{10100111011111} is an apocalyptic number.

10100111011111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100111011111 is a deficient number, since it is larger than the sum of its proper divisors (973560268889).

10100111011111 is a wasteful number, since it uses less digits than its factorization.

10100111011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4614029909.

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

Adding to 10100111011111 its reverse (11111011100101), we get a palindrome (21211122111212).

The spelling of 10100111011111 in words is "ten trillion, one hundred billion, one hundred eleven million, eleven thousand, one hundred eleven".