10211000111101 has 16 divisors (see below), whose sum is σ = 10880027308800. Its totient is φ = 9555577992000.

The previous prime is 10211000111071. The next prime is 10211000111113. The reversal of 10211000111101 is 10111100011201.

It is a cyclic number.

It is not a de Polignac number, because 10211000111101 - 2⁷ = 10211000110973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211000111131) 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, 5345766 + ... + 6999943.

It is an arithmetic number, because the mean of its divisors is an integer number (680001706800).

Almost surely, 2^{10211000111101} is an apocalyptic number.

It is an amenable number.

10211000111101 is a deficient number, since it is larger than the sum of its proper divisors (669027197699).

10211000111101 is a wasteful number, since it uses less digits than its factorization.

10211000111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12346260.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10211000111101 its reverse (10111100011201), we get a palindrome (20322100122302).

The spelling of 10211000111101 in words is "ten trillion, two hundred eleven billion, one hundred eleven thousand, one hundred one".