20101101021100 has 144 divisors (see below), whose sum is σ = 47691387243360. Its totient is φ = 7293133619200.

The previous prime is 20101101021083. The next prime is 20101101021181. The reversal of 20101101021100 is 112010110102.

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

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, 1049272722 + ... + 1049291878.

It is an arithmetic number, because the mean of its divisors is an integer number (331190189190).

Almost surely, 2^{20101101021100} is an apocalyptic number.

20101101021100 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 20101101021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23845693621680).

20101101021100 is an abundant number, since it is smaller than the sum of its proper divisors (27590286222260).

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

20101101021100 is a wasteful number, since it uses less digits than its factorization.

20101101021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21268 (or 21261 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20101101021100 its reverse (112010110102), we get a palindrome (20213111131202).

The spelling of 20101101021100 in words is "twenty trillion, one hundred one billion, one hundred one million, twenty-one thousand, one hundred".