10002011101101 has 24 divisors (see below), whose sum is σ = 14482639371200. Its totient is φ = 6651723805056.

The previous prime is 10002011101091. The next prime is 10002011101123. The reversal of 10002011101101 is 10110111020001.

It is not a de Polignac number, because 10002011101101 - 2³⁴ = 9984831231917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002011101001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29836320 + ... + 30169686.

Almost surely, 2^{10002011101101} is an apocalyptic number.

It is an amenable number.

10002011101101 is a deficient number, since it is larger than the sum of its proper divisors (4480628270099).

10002011101101 is a wasteful number, since it uses less digits than its factorization.

10002011101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341505 (or 341502 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10002011101101 its reverse (10110111020001), we get a palindrome (20112122121102).

The spelling of 10002011101101 in words is "ten trillion, two billion, eleven million, one hundred one thousand, one hundred one".