100120235534226 has 112 divisors (see below), whose sum is σ = 225580781974680. Its totient is φ = 33312189911040.

The previous prime is 100120235534213. The next prime is 100120235534227. The reversal of 100120235534226 is 622435532021001.

100120235534226 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 20 + 23 + 553 + 42 + 26 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 99312485769225 + 807749765001 = 9965565^2 + 898749^2 .

It is a super-2 number, since 2×100120235534226² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100120235534227) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3974747640 + ... + 3974772828.

Almost surely, 2^{100120235534226} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100120235534226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112790390987340).

100120235534226 is an abundant number, since it is smaller than the sum of its proper divisors (125460546440454).

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

100120235534226 is an equidigital number, since it uses as much as digits as its factorization.

100120235534226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30103 (or 30088 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 100120235534226 its reverse (622435532021001), we get a palindrome (722555767555227).

The spelling of 100120235534226 in words is "one hundred trillion, one hundred twenty billion, two hundred thirty-five million, five hundred thirty-four thousand, two hundred twenty-six".