101010100000011 has 32 divisors (see below), whose sum is σ = 142785075148800. Its totient is φ = 63405182903040.

The previous prime is 101010099999983. The next prime is 101010100000081. The reversal of 101010100000011 is 110000001010101.

It is not a de Polignac number, because 101010100000011 - 2⁶ = 101010099999947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010100000081) 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, 178680760 + ... + 179245178.

It is an arithmetic number, because the mean of its divisors is an integer number (4462033598400).

Almost surely, 2^{101010100000011} is an apocalyptic number.

101010100000011 is a deficient number, since it is larger than the sum of its proper divisors (41774975148789).

101010100000011 is a wasteful number, since it uses less digits than its factorization.

101010100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616499.

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

Adding to 101010100000011 its reverse (110000001010101), we get a palindrome (211010101010112).

The spelling of 101010100000011 in words is "one hundred one trillion, ten billion, one hundred million, eleven", and thus it is an aban number.