20001100102120 has 128 divisors (see below), whose sum is σ = 46931568330240. Its totient is φ = 7665320355840.

The previous prime is 20001100102117. The next prime is 20001100102129. The reversal of 20001100102120 is 2120100110002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20001100102097 and 20001100102106.

It is not an unprimeable number, because it can be changed into a prime (20001100102129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38245924 + ... + 38765356.

It is an arithmetic number, because the mean of its divisors is an integer number (366652877580).

Almost surely, 2^{20001100102120} is an apocalyptic number.

20001100102120 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 20001100102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23465784165120).

20001100102120 is an abundant number, since it is smaller than the sum of its proper divisors (26930468228120).

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

20001100102120 is a wasteful number, since it uses less digits than its factorization.

20001100102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519915 (or 519911 counting only the distinct ones).

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

Adding to 20001100102120 its reverse (2120100110002), we get a palindrome (22121200212122).

The spelling of 20001100102120 in words is "twenty trillion, one billion, one hundred million, one hundred two thousand, one hundred twenty".