100201411211024 has 80 divisors (see below), whose sum is σ = 207718765349040. Its totient is φ = 46659598663680.

The previous prime is 100201411211021. The next prime is 100201411211051. The reversal of 100201411211024 is 420112114102001.

It can be written as a sum of positive squares in 8 ways, for example, as 5284481440000 + 94916929771024 = 2298800^2 + 9742532^2 .

It is a super-3 number, since 3×100201411211024³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100201411210987 and 100201411211005.

It is not an unprimeable number, because it can be changed into a prime (100201411211021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20341562 + ... + 24782694.

It is an arithmetic number, because the mean of its divisors is an integer number (2596484566863).

Almost surely, 2^{100201411211024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201411211024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103859382674520).

100201411211024 is an abundant number, since it is smaller than the sum of its proper divisors (107517354138016).

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

100201411211024 is a wasteful number, since it uses less digits than its factorization.

100201411211024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442028 (or 4442022 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100201411211024 its reverse (420112114102001), we get a palindrome (520313525313025).

The spelling of 100201411211024 in words is "one hundred trillion, two hundred one billion, four hundred eleven million, two hundred eleven thousand, twenty-four".