20102100202020 has 192 divisors, whose sum is σ = 58016678630400. Its totient is φ = 5196795604992.

The previous prime is 20102100202001. The next prime is 20102100202081. The reversal of 20102100202020 is 2020200120102.

It is a super-4 number, since 4×20102100202020⁴ (a number of 54 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20102100201987 and 20102100202005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1102502824 + ... + 1102521056.

It is an arithmetic number, because the mean of its divisors is an integer number (302170201200).

Almost surely, 2^{20102100202020} is an apocalyptic number.

20102100202020 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 20102100202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29008339315200).

20102100202020 is an abundant number, since it is smaller than the sum of its proper divisors (37914578428380).

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

20102100202020 is a wasteful number, since it uses less digits than its factorization.

20102100202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20054 (or 20052 counting only the distinct ones).

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

Adding to 20102100202020 its reverse (2020200120102), we get a palindrome (22122300322122).

The spelling of 20102100202020 in words is "twenty trillion, one hundred two billion, one hundred million, two hundred two thousand, twenty".