10211000111111 has 32 divisors (see below), whose sum is σ = 10643935438848. Its totient is φ = 9788794583040.

The previous prime is 10211000111071. The next prime is 10211000111113. The reversal of 10211000111111 is 11111100011201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10211000111111 - 2³⁰ = 10209926369287 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211000111092 and 10211000111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211000111113) 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, 2396383721 + ... + 2396387981.

It is an arithmetic number, because the mean of its divisors is an integer number (332622982464).

Almost surely, 2^{10211000111111} is an apocalyptic number.

10211000111111 is a deficient number, since it is larger than the sum of its proper divisors (432935327737).

10211000111111 is a wasteful number, since it uses less digits than its factorization.

10211000111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8511.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 10211000111111 its reverse (11111100011201), we get a palindrome (21322100122312).

The spelling of 10211000111111 in words is "ten trillion, two hundred eleven billion, one hundred eleven thousand, one hundred eleven".