11102122010 has 32 divisors (see below), whose sum is σ = 23127759360. Its totient is φ = 3758257152.

The previous prime is 11102121937. The next prime is 11102122043. The reversal of 11102122010 is 1022120111.

11102122010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11102122010² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11102121982 and 11102122000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998279 + ... + 1009338.

It is an arithmetic number, because the mean of its divisors is an integer number (722742480).

Almost surely, 2^11102122010 is an apocalyptic number.

11102122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11102122010 is an abundant number, since it is smaller than the sum of its proper divisors (12025637350).

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

11102122010 is a wasteful number, since it uses less digits than its factorization.

11102122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007710.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11102122010 its reverse (1022120111), we get a palindrome (12124242121).

The spelling of 11102122010 in words is "eleven billion, one hundred two million, one hundred twenty-two thousand, ten".