20102002220100 has 144 divisors (see below), whose sum is σ = 59983673299200. Its totient is φ = 5193831121920.

The previous prime is 20102002220081. The next prime is 20102002220119. The reversal of 20102002220100 is 102220020102.

It is an interprime number because it is at equal distance from previous prime (20102002220081) and next prime (20102002220119).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135785 + ... + 6441584.

It is an arithmetic number, because the mean of its divisors is an integer number (416553286800).

Almost surely, 2^{20102002220100} is an apocalyptic number.

20102002220100 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 20102002220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29991836649600).

20102002220100 is an abundant number, since it is smaller than the sum of its proper divisors (39881671079100).

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

20102002220100 is a wasteful number, since it uses less digits than its factorization.

20102002220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577662 (or 7577655 counting only the distinct ones).

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

Adding to 20102002220100 its reverse (102220020102), we get a palindrome (20204222240202).

The spelling of 20102002220100 in words is "twenty trillion, one hundred two billion, two million, two hundred twenty thousand, one hundred".