20102020220100 has 576 divisors, whose sum is σ = 74213590026240. Its totient is φ = 4087986278400.

The previous prime is 20102020220089. The next prime is 20102020220143. The reversal of 20102020220100 is 102202020102.

It is a super-3 number, since 3×20102020220100³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92793711 + ... + 93010089.

It is an arithmetic number, because the mean of its divisors is an integer number (128843038240).

Almost surely, 2^{20102020220100} is an apocalyptic number.

20102020220100 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 20102020220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37106795013120).

20102020220100 is an abundant number, since it is smaller than the sum of its proper divisors (54111569806140).

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

20102020220100 is a wasteful number, since it uses less digits than its factorization.

20102020220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216540 (or 216533 counting only the distinct ones).

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

Adding to 20102020220100 its reverse (102202020102), we get a palindrome (20204222240202).

The spelling of 20102020220100 in words is "twenty trillion, one hundred two billion, twenty million, two hundred twenty thousand, one hundred".