10100100000011 has 16 divisors (see below), whose sum is σ = 11580215988480. Its totient is φ = 8629305870240.

The previous prime is 10100099999923. The next prime is 10100100000017. The reversal of 10100100000011 is 11000000100101.

It is a cyclic number.

It is not a de Polignac number, because 10100100000011 - 2²⁶ = 10100032891147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100099999950 and 10100100000004.

It is not an unprimeable number, because it can be changed into a prime (10100100000017) 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, 10930160 + ... + 11818146.

It is an arithmetic number, because the mean of its divisors is an integer number (723763499280).

Almost surely, 2^{10100100000011} is an apocalyptic number.

10100100000011 is a deficient number, since it is larger than the sum of its proper divisors (1480115988469).

10100100000011 is an equidigital number, since it uses as much as digits as its factorization.

10100100000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893234.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100100000011 its reverse (11000000100101), we get a palindrome (21100100100112).

The spelling of 10100100000011 in words is "ten trillion, one hundred billion, one hundred million, eleven", and thus it is an aban number.