10211111010 has 24 divisors (see below), whose sum is σ = 26548888860. Its totient is φ = 2722962912.

The previous prime is 10211110993. The next prime is 10211111011. The reversal of 10211111010 is 1011111201.

It can be written as a sum of positive squares in 2 ways, for example, as 10131026409 + 80084601 = 100653^2 + 8949^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10211110983 and 10211111001.

It is not an unprimeable number, because it can be changed into a prime (10211111011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56728305 + ... + 56728484.

Almost surely, 2^10211111010 is an apocalyptic number.

10211111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10211111010 is an abundant number, since it is smaller than the sum of its proper divisors (16337777850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10211111010 is a wasteful number, since it uses less digits than its factorization.

10211111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113456802 (or 113456799 counting only the distinct ones).

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

Adding to 10211111010 its reverse (1011111201), we get a palindrome (11222222211).

It can be divided in two parts, 1021111 and 1010, that added together give a square (1022121 = 1011²).

The spelling of 10211111010 in words is "ten billion, two hundred eleven million, one hundred eleven thousand, ten".