1012122111 has 128 divisors (see below), whose sum is σ = 1895104512. Its totient is φ = 463680000.

The previous prime is 1012122103. The next prime is 1012122143. The reversal of 1012122111 is 1112212101.

It is not a de Polignac number, because 1012122111 - 2³ = 1012122103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012122511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10020961 + ... + 10021061.

It is an arithmetic number, because the mean of its divisors is an integer number (14805504).

Almost surely, 2^1012122111 is an apocalyptic number.

1012122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012122111 is a deficient number, since it is larger than the sum of its proper divisors (882982401).

1012122111 is a wasteful number, since it uses less digits than its factorization.

1012122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1012122111 is about 31813.8666464798. The cubic root of 1012122111 is about 1004.0244854560.

Adding to 1012122111 its reverse (1112212101), we get a palindrome (2124334212).

It can be divided in two parts, 101 and 2122111, that added together give a palindrome (2122212).

The spelling of 1012122111 in words is "one billion, twelve million, one hundred twenty-two thousand, one hundred eleven".