1022102112 has 96 divisors (see below), whose sum is σ = 2837721600. Its totient is φ = 321228288.

The previous prime is 1022102111. The next prime is 1022102117. The reversal of 1022102112 is 2112012201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022102111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416473 + ... + 418919.

It is an arithmetic number, because the mean of its divisors is an integer number (29559600).

Almost surely, 2^1022102112 is an apocalyptic number.

1022102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418860800).

1022102112 is an abundant number, since it is smaller than the sum of its proper divisors (1815619488).

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

1022102112 is a wasteful number, since it uses less digits than its factorization.

1022102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1022102112 is about 31970.3317467930. The cubic root of 1022102112 is about 1007.3137493310.

Adding to 1022102112 its reverse (2112012201), we get a palindrome (3134114313).

The spelling of 1022102112 in words is "one billion, twenty-two million, one hundred two thousand, one hundred twelve".