20101222011200 has 336 divisors, whose sum is σ = 56615357635200. Its totient is φ = 6953075712000.

The previous prime is 20101222011187. The next prime is 20101222011251. The reversal of 20101222011200 is 211022210102.

It is a super-3 number, since 3×20101222011200³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73131626 + ... + 73405974.

It is an arithmetic number, because the mean of its divisors is an integer number (168498088200).

Almost surely, 2^{20101222011200} is an apocalyptic number.

20101222011200 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 20101222011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28307678817600).

20101222011200 is an abundant number, since it is smaller than the sum of its proper divisors (36514135624000).

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

20101222011200 is a wasteful number, since it uses less digits than its factorization.

20101222011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274586 (or 274571 counting only the distinct ones).

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

Adding to 20101222011200 its reverse (211022210102), we get a palindrome (20312244221302).

The spelling of 20101222011200 in words is "twenty trillion, one hundred one billion, two hundred twenty-two million, eleven thousand, two hundred".