1022100112 has 80 divisors (see below), whose sum is σ = 2298227904. Its totient is φ = 435200000.

The previous prime is 1022100109. The next prime is 1022100113. The reversal of 1022100112 is 2110012201.

It is not an unprimeable number, because it can be changed into a prime (1022100113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750312 + ... + 751672.

Almost surely, 2^1022100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149113952).

1022100112 is an abundant number, since it is smaller than the sum of its proper divisors (1276127792).

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

1022100112 is a wasteful number, since it uses less digits than its factorization.

1022100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1022100112 is about 31970.3004677779. The cubic root of 1022100112 is about 1007.3130923096.

Adding to 1022100112 its reverse (2110012201), we get a palindrome (3132112313).

It can be divided in two parts, 10 and 22100112, that added together give a palindrome (22100122).

The spelling of 1022100112 in words is "one billion, twenty-two million, one hundred thousand, one hundred twelve".