20001101120100 has 432 divisors, whose sum is σ = 64053400320000. Its totient is φ = 5218748870400.

The previous prime is 20001101120023. The next prime is 20001101120123. The reversal of 20001101120100 is 102110110002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13708773171 + ... + 13708774629.

It is an arithmetic number, because the mean of its divisors is an integer number (148271760000).

Almost surely, 2^{20001101120100} is an apocalyptic number.

20001101120100 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 20001101120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32026700160000).

20001101120100 is an abundant number, since it is smaller than the sum of its proper divisors (44052299199900).

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

20001101120100 is a wasteful number, since it uses less digits than its factorization.

20001101120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20001101120100 its reverse (102110110002), we get a palindrome (20103211230102).

The spelling of 20001101120100 in words is "twenty trillion, one billion, one hundred one million, one hundred twenty thousand, one hundred".