10100110000011 has 16 divisors (see below), whose sum is σ = 13477367852544. Its totient is φ = 6728130297504.

The previous prime is 10100109999989. The next prime is 10100110000037. The reversal of 10100110000011 is 11000001100101.

It is not a de Polignac number, because 10100110000011 - 2⁷ = 10100109999883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10100111000011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47961630 + ... + 48171756.

It is an arithmetic number, because the mean of its divisors is an integer number (842335490784).

Almost surely, 2^{10100110000011} is an apocalyptic number.

10100110000011 is a deficient number, since it is larger than the sum of its proper divisors (3377257852533).

10100110000011 is a wasteful number, since it uses less digits than its factorization.

10100110000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222610.

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

Adding to 10100110000011 its reverse (11000001100101), we get a palindrome (21100111100112).

The spelling of 10100110000011 in words is "ten trillion, one hundred billion, one hundred ten million, eleven", and thus it is an aban number.