101001111111111 has 32 divisors (see below), whose sum is σ = 135493686551808. Its totient is φ = 66922473263360.

The previous prime is 101001111111101. The next prime is 101001111111119. The reversal of 101001111111111 is 111111111100101.

It is a cyclic number.

It is not a de Polignac number, because 101001111111111 - 2²² = 101001106916807 is a prime.

101001111111111 is a modest number, since divided by 11111111 gives 1010011 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001111111119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865114201 + ... + 865230941.

It is an arithmetic number, because the mean of its divisors is an integer number (4234177704744).

Almost surely, 2^{101001111111111} is an apocalyptic number.

101001111111111 is a deficient number, since it is larger than the sum of its proper divisors (34492575440697).

101001111111111 is a wasteful number, since it uses less digits than its factorization.

101001111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119231.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 101001111111111 its reverse (111111111100101), we get a palindrome (212112222211212).

The spelling of 101001111111111 in words is "one hundred one trillion, one billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".