10100211122 has 64 divisors (see below), whose sum is σ = 17340770304. Its totient is φ = 4384005120.

The previous prime is 10100211119. The next prime is 10100211157. The reversal of 10100211122 is 22111200101.

10100211122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 9041708 + ... + 9042824.

It is an arithmetic number, because the mean of its divisors is an integer number (270949536).

Almost surely, 2^10100211122 is an apocalyptic number.

10100211122 is a deficient number, since it is larger than the sum of its proper divisors (7240559182).

10100211122 is a wasteful number, since it uses less digits than its factorization.

10100211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563.

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

Adding to 10100211122 its reverse (22111200101), we get a palindrome (32211411223).

The spelling of 10100211122 in words is "ten billion, one hundred million, two hundred eleven thousand, one hundred twenty-two".