20202020012100 has 144 divisors (see below), whose sum is σ = 59112463435200. Its totient is φ = 5326266654720.

The previous prime is 20202020012099. The next prime is 20202020012101. The reversal of 20202020012100 is 121002020202.

It is an interprime number because it is at equal distance from previous prime (20202020012099) and next prime (20202020012101).

It is a super-2 number, since 2×20202020012100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20202020012101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529148212 + ... + 529186388.

It is an arithmetic number, because the mean of its divisors is an integer number (410503218300).

Almost surely, 2^{20202020012100} is an apocalyptic number.

20202020012100 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 20202020012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29556231717600).

20202020012100 is an abundant number, since it is smaller than the sum of its proper divisors (38910443423100).

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

20202020012100 is a wasteful number, since it uses less digits than its factorization.

20202020012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58102 (or 58095 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20202020012100 its reverse (121002020202), we get a palindrome (20323022032302).

The spelling of 20202020012100 in words is "twenty trillion, two hundred two billion, twenty million, twelve thousand, one hundred".