22010012201100 has 576 divisors, whose sum is σ = 80064267558912. Its totient is φ = 4535149824000.

The previous prime is 22010012201077. The next prime is 22010012201113. The reversal of 22010012201100 is 110221001022.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1720735705 + ... + 1720748495.

It is an arithmetic number, because the mean of its divisors is an integer number (139000464512).

Almost surely, 2^{22010012201100} is an apocalyptic number.

22010012201100 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 22010012201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40032133779456).

22010012201100 is an abundant number, since it is smaller than the sum of its proper divisors (58054255357812).

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

22010012201100 is a wasteful number, since it uses less digits than its factorization.

22010012201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446 (or 13439 counting only the distinct ones).

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

Adding to 22010012201100 its reverse (110221001022), we get a palindrome (22120233202122).

The spelling of 22010012201100 in words is "twenty-two trillion, ten billion, twelve million, two hundred one thousand, one hundred".