20011002012100 has 144 divisors (see below), whose sum is σ = 48295304277696. Its totient is φ = 7134993216000.

The previous prime is 20011002012091. The next prime is 20011002012101. The reversal of 20011002012100 is 121020011002.

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

It is not an unprimeable number, because it can be changed into a prime (20011002012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94398427 + ... + 94610173.

It is an arithmetic number, because the mean of its divisors is an integer number (335384057484).

Almost surely, 2^{20011002012100} is an apocalyptic number.

20011002012100 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 20011002012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24147652138848).

20011002012100 is an abundant number, since it is smaller than the sum of its proper divisors (28284302265596).

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

20011002012100 is a wasteful number, since it uses less digits than its factorization.

20011002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213446 (or 213439 counting only the distinct ones).

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

Adding to 20011002012100 its reverse (121020011002), we get a palindrome (20132022023102).

The spelling of 20011002012100 in words is "twenty trillion, eleven billion, two million, twelve thousand, one hundred".