100204211040 has 192 divisors, whose sum is σ = 324451733760. Its totient is φ = 25976678400.

The previous prime is 100204210999. The next prime is 100204211047. The reversal of 100204211040 is 40112402001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100204211047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35145615 + ... + 35148465.

It is an arithmetic number, because the mean of its divisors is an integer number (1689852780).

Almost surely, 2^100204211040 is an apocalyptic number.

100204211040 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 100204211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162225866880).

100204211040 is an abundant number, since it is smaller than the sum of its proper divisors (224247522720).

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

100204211040 is a wasteful number, since it uses less digits than its factorization.

100204211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100204211040 its reverse (40112402001), we get a palindrome (140316613041).

The spelling of 100204211040 in words is "one hundred billion, two hundred four million, two hundred eleven thousand, forty".