22012112100 has 144 divisors (see below), whose sum is σ = 69532424640. Its totient is φ = 5332108800.

The previous prime is 22012112081. The next prime is 22012112107. The reversal of 22012112100 is 121121022.

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

It is not an unprimeable number, because it can be changed into a prime (22012112107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7565446 + ... + 7568354.

It is an arithmetic number, because the mean of its divisors is an integer number (482864060).

Almost surely, 2^22012112100 is an apocalyptic number.

22012112100 is a gapful number since it is divisible by the number (20) 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 22012112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34766212320).

22012112100 is an abundant number, since it is smaller than the sum of its proper divisors (47520312540).

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

22012112100 is a wasteful number, since it uses less digits than its factorization.

22012112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5223 counting only the distinct ones).

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

Adding to 22012112100 its reverse (121121022), we get a palindrome (22133233122).

It can be divided in two parts, 220121 and 12100, that added together give a triangular number (232221 = T₆₈₁).

The spelling of 22012112100 in words is "twenty-two billion, twelve million, one hundred twelve thousand, one hundred".