20101221011200 has 864 divisors, whose sum is σ = 59213445096960. Its totient is φ = 6613401600000.

The previous prime is 20101221011177. The next prime is 20101221011227. The reversal of 20101221011200 is 211012210102.

It is a super-2 number, since 2×20101221011200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33446290900 + ... + 33446291500.

Almost surely, 2^{20101221011200} is an apocalyptic number.

20101221011200 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 20101221011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29606722548480).

20101221011200 is an abundant number, since it is smaller than the sum of its proper divisors (39112224085760).

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

20101221011200 is a wasteful number, since it uses less digits than its factorization.

20101221011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20101221011200 its reverse (211012210102), we get a palindrome (20312233221302).

The spelling of 20101221011200 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, eleven thousand, two hundred".