100020011220 has 384 divisors, whose sum is σ = 332549038080. Its totient is φ = 24903521280.

The previous prime is 100020011213. The next prime is 100020011227. The reversal of 100020011220 is 22110020001.

It is an interprime number because it is at equal distance from previous prime (100020011213) and next prime (100020011227).

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 (100020011227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97012105 + ... + 97013135.

It is an arithmetic number, because the mean of its divisors is an integer number (866013120).

Almost surely, 2^100020011220 is an apocalyptic number.

100020011220 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 100020011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166274519040).

100020011220 is an abundant number, since it is smaller than the sum of its proper divisors (232529026860).

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

100020011220 is a wasteful number, since it uses less digits than its factorization.

100020011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100020011220 its reverse (22110020001), we get a palindrome (122130031221).

The spelling of 100020011220 in words is "one hundred billion, twenty million, eleven thousand, two hundred twenty".