1022111100 has 108 divisors (see below), whose sum is σ = 3215872296. Its totient is φ = 271532160.

The previous prime is 1022111081. The next prime is 1022111107. The reversal of 1022111100 is 11112201.

It is a happy number.

It is a super-4 number, since 4×1022111100⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022111107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252694 + ... + 256706.

Almost surely, 2^1022111100 is an apocalyptic number.

1022111100 is a gapful number since it is divisible by the number (10) 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 1022111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607936148).

1022111100 is an abundant number, since it is smaller than the sum of its proper divisors (2193761196).

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

1022111100 is a wasteful number, since it uses less digits than its factorization.

1022111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1022111100 is about 31970.4723143090. The cubic root of 1022111100 is about 1007.3167019745.

Adding to 1022111100 its reverse (11112201), we get a palindrome (1033223301).

It can be divided in two parts, 10221 and 11100, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 1022111100 in words is "one billion, twenty-two million, one hundred eleven thousand, one hundred".