10100000001011 has 16 divisors (see below), whose sum is σ = 10342448363520. Its totient is φ = 9860348967840.

The previous prime is 10100000000941. The next prime is 10100000001071. The reversal of 10100000001011 is 11010000000101.

It is a cyclic number.

It is not a de Polignac number, because 10100000001011 - 2²² = 10099995806707 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100000000986 and 10100000001004.

It is not an unprimeable number, because it can be changed into a prime (10100000001071) 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, 119400950 + ... + 119485508.

It is an arithmetic number, because the mean of its divisors is an integer number (646403022720).

Almost surely, 2^{10100000001011} is an apocalyptic number.

10100000001011 is a deficient number, since it is larger than the sum of its proper divisors (242448362509).

10100000001011 is a wasteful number, since it uses less digits than its factorization.

10100000001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101066.

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

Adding to 10100000001011 its reverse (11010000000101), we get a palindrome (21110000001112).

The spelling of 10100000001011 in words is "ten trillion, one hundred billion, one thousand, eleven".