10211101101111 has 8 divisors (see below), whose sum is σ = 13625218306944. Its totient is φ = 6802192314680.

The previous prime is 10211101101073. The next prime is 10211101101119. The reversal of 10211101101111 is 11110110111201.

10211101101111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10211101101111 - 2¹⁰ = 10211101100087 is a prime.

It is a super-2 number, since 2×10211101101111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211101101119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1302100275 + ... + 1302108116.

It is an arithmetic number, because the mean of its divisors is an integer number (1703152288368).

Almost surely, 2^{10211101101111} is an apocalyptic number.

10211101101111 is a deficient number, since it is larger than the sum of its proper divisors (3414117205833).

10211101101111 is a wasteful number, since it uses less digits than its factorization.

10211101101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604209701.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 10211101101111 its reverse (11110110111201), we get a palindrome (21321211212312).

The spelling of 10211101101111 in words is "ten trillion, two hundred eleven billion, one hundred one million, one hundred one thousand, one hundred eleven".