1000020220100 has 288 divisors, whose sum is σ = 2436583548672. Its totient is φ = 353191680000.

The previous prime is 1000020220079. The next prime is 1000020220103. The reversal of 1000020220100 is 10220200001.

1000020220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1000020220103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3215498945 + ... + 3215499255.

It is an arithmetic number, because the mean of its divisors is an integer number (8460359544).

Almost surely, 2^{1000020220100} is an apocalyptic number.

1000020220100 is a gapful number since it is divisible by the number (10) 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 1000020220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218291774336).

1000020220100 is an abundant number, since it is smaller than the sum of its proper divisors (1436563328572).

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

1000020220100 is a wasteful number, since it uses less digits than its factorization.

1000020220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

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

Adding to 1000020220100 its reverse (10220200001), we get a palindrome (1010240420101).

The spelling of 1000020220100 in words is "one trillion, twenty million, two hundred twenty thousand, one hundred".