20010100222112 has 288 divisors, whose sum is σ = 54069571168704. Its totient is φ = 7165534924800.

The previous prime is 20010100222111. The next prime is 20010100222159. The reversal of 20010100222112 is 21122200101002.

It is a super-2 number, since 2×20010100222112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20010100222111) 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, 52052687 + ... + 52435697.

It is an arithmetic number, because the mean of its divisors is an integer number (187741566558).

Almost surely, 2^{20010100222112} is an apocalyptic number.

20010100222112 is a gapful number since it is divisible by the number (22) 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 20010100222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27034785584352).

20010100222112 is an abundant number, since it is smaller than the sum of its proper divisors (34059470946592).

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

20010100222112 is a wasteful number, since it uses less digits than its factorization.

20010100222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383292 (or 383277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20010100222112 its reverse (21122200101002), we get a palindrome (41132300323114).

The spelling of 20010100222112 in words is "twenty trillion, ten billion, one hundred million, two hundred twenty-two thousand, one hundred twelve".