20010020012100 has 90 divisors (see below), whose sum is σ = 64864579712394. Its totient is φ = 5336005334400.

The previous prime is 20010020012069. The next prime is 20010020012113. The reversal of 20010020012100 is 121002001002.

It can be written as a sum of positive squares in 3 ways, for example, as 10019609604 + 20000000402496 = 100098^2 + 4472136^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 29 ways as a sum of consecutive naturals, for example, 1235178321 + ... + 1235194520.

Almost surely, 2^{20010020012100} is an apocalyptic number.

20010020012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010020012100 is an abundant number, since it is smaller than the sum of its proper divisors (44854559700294).

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

20010020012100 is a wasteful number, since it uses less digits than its factorization.

20010020012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470372867 (or 2470372851 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20010020012100 its reverse (121002001002), we get a palindrome (20131022013102).

The spelling of 20010020012100 in words is "twenty trillion, ten billion, twenty million, twelve thousand, one hundred".