20101211200000 has 360 divisors, whose sum is σ = 58397006625804. Its totient is φ = 6891816960000.

The previous prime is 20101211199989. The next prime is 20101211200079. The reversal of 20101211200000 is 211210102.

It can be written as a sum of positive squares in 6 ways, for example, as 1398561681664 + 18702649518336 = 1182608^2 + 4324656^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 20101211200000.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78271804 + ... + 78528196.

Almost surely, 2^{20101211200000} is an apocalyptic number.

20101211200000 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 20101211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29198503312902).

20101211200000 is an abundant number, since it is smaller than the sum of its proper divisors (38295795425804).

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

20101211200000 is an frugal number, since it uses more digits than its factorization.

20101211200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256450 (or 256407 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101211200000 its reverse (211210102), we get a palindrome (20101422410102).

The spelling of 20101211200000 in words is "twenty trillion, one hundred one billion, two hundred eleven million, two hundred thousand".