100100010201220 has 24 divisors (see below), whose sum is σ = 210219377923800. Its totient is φ = 40038221889792.

The previous prime is 100100010201211. The next prime is 100100010201229. The reversal of 100100010201220 is 22102010001001.

It is an interprime number because it is at equal distance from previous prime (100100010201211) and next prime (100100010201229).

It can be written as a sum of positive squares in 4 ways, for example, as 4130909911296 + 95969100289924 = 2032464^2 + 9796382^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100100010201197 and 100100010201206.

It is not an unprimeable number, because it can be changed into a prime (100100010201229) 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 7 ways as a sum of consecutive naturals, for example, 110926305 + ... + 111825064.

It is an arithmetic number, because the mean of its divisors is an integer number (8759140746825).

Almost surely, 2^{100100010201220} is an apocalyptic number.

100100010201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100010201220 is an abundant number, since it is smaller than the sum of its proper divisors (110119367722580).

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

100100010201220 is a wasteful number, since it uses less digits than its factorization.

100100010201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222773847 (or 222773845 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100100010201220 its reverse (22102010001001), we get a palindrome (122202020202221).

The spelling of 100100010201220 in words is "one hundred trillion, one hundred billion, ten million, two hundred one thousand, two hundred twenty".