100206411143104 has 224 divisors, whose sum is σ = 238055728177152. Its totient is φ = 40946121216000.

The previous prime is 100206411143087. The next prime is 100206411143141. The reversal of 100206411143104 is 401341114602001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1432692774 + ... + 1432762714.

Almost surely, 2^{100206411143104} is an apocalyptic number.

100206411143104 is a gapful number since it is divisible by the number (14) 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 100206411143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119027864088576).

100206411143104 is an abundant number, since it is smaller than the sum of its proper divisors (137849317034048).

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

100206411143104 is a wasteful number, since it uses less digits than its factorization.

100206411143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71515 (or 71505 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 100206411143104 its reverse (401341114602001), we get a palindrome (501547525745105).

The spelling of 100206411143104 in words is "one hundred trillion, two hundred six billion, four hundred eleven million, one hundred forty-three thousand, one hundred four".