10211101011 has 48 divisors (see below), whose sum is σ = 15995917600. Its totient is φ = 6254889984.

The previous prime is 10211100967. The next prime is 10211101099. The reversal of 10211101011 is 11010111201.

It is not a de Polignac number, because 10211101011 - 2²² = 10206906707 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10211100984 and 10211101002.

It is not an unprimeable number, because it can be changed into a prime (10211101711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2129805 + ... + 2134593.

Almost surely, 2^10211101011 is an apocalyptic number.

10211101011 is a deficient number, since it is larger than the sum of its proper divisors (5784816589).

10211101011 is a wasteful number, since it uses less digits than its factorization.

10211101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5185 counting only the distinct ones).

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

Adding to 10211101011 its reverse (11010111201), we get a palindrome (21221212212).

It can be divided in two parts, 1021110 and 1011, that added together give a square (1022121 = 1011²).

The spelling of 10211101011 in words is "ten billion, two hundred eleven million, one hundred one thousand, eleven".