100220001300 has 144 divisors (see below), whose sum is σ = 322485401280. Its totient is φ = 26700727680.

The previous prime is 100220001293. The next prime is 100220001307. The reversal of 100220001300 is 3100022001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100220001293) and next prime (100220001307).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220001307) by changing a digit.

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, 3015574 + ... + 3048626.

Almost surely, 2^100220001300 is an apocalyptic number.

100220001300 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 100220001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161242700640).

100220001300 is an abundant number, since it is smaller than the sum of its proper divisors (222265399980).

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

100220001300 is a wasteful number, since it uses less digits than its factorization.

100220001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34199 (or 34186 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100220001300 its reverse (3100022001), we get a palindrome (103320023301).

The spelling of 100220001300 in words is "one hundred billion, two hundred twenty million, one thousand, three hundred".