22012201101000 has 256 divisors, whose sum is σ = 75460547635200. Its totient is φ = 5297899488000.

The previous prime is 22012201100999. The next prime is 22012201101041. The reversal of 22012201101000 is 10110221022.

It is a super-2 number, since 2×22012201101000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2187589 + ... + 6986411.

It is an arithmetic number, because the mean of its divisors is an integer number (294767764200).

Almost surely, 2^{22012201101000} is an apocalyptic number.

22012201101000 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 22012201101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37730273817600).

22012201101000 is an abundant number, since it is smaller than the sum of its proper divisors (53448346534200).

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

22012201101000 is a wasteful number, since it uses less digits than its factorization.

22012201101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798997 (or 4798983 counting only the distinct ones).

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

Adding to 22012201101000 its reverse (10110221022), we get a palindrome (22022311322022).

The spelling of 22012201101000 in words is "twenty-two trillion, twelve billion, two hundred one million, one hundred one thousand".