101110000000011 has 64 divisors (see below), whose sum is σ = 148616189230080. Its totient is φ = 60920577446400.

The previous prime is 101109999999989. The next prime is 101110000000013. The reversal of 101110000000011 is 110000000011101.

It is not a de Polignac number, because 101110000000011 - 2⁶ = 101109999999947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101110000000013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19635681 + ... + 24244173.

It is an arithmetic number, because the mean of its divisors is an integer number (2322127956720).

Almost surely, 2^{101110000000011} is an apocalyptic number.

101110000000011 is a deficient number, since it is larger than the sum of its proper divisors (47506189230069).

101110000000011 is a wasteful number, since it uses less digits than its factorization.

101110000000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608756.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101110000000011 its reverse (110000000011101), we get a palindrome (211110000011112).

It can be divided in two parts, 101 and 110000000011, that multiplied together give a palindrome (11110000001111).

The spelling of 101110000000011 in words is "one hundred one trillion, one hundred ten billion, eleven", and thus it is an aban number.