20101221110000 has 100 divisors (see below), whose sum is σ = 48669289023432. Its totient is φ = 8040121248000.

The previous prime is 20101221109999. The next prime is 20101221110071. The reversal of 20101221110000 is 1112210102.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×20101221110000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 360642134 + ... + 360697866.

Almost surely, 2^{20101221110000} is an apocalyptic number.

20101221110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101221110000 is an abundant number, since it is smaller than the sum of its proper divisors (28568067913432).

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

20101221110000 is an equidigital number, since it uses as much as digits as its factorization.

20101221110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91828 (or 91807 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20101221110000 its reverse (1112210102), we get a palindrome (20102333320102).

The spelling of 20101221110000 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, one hundred ten thousand".