100411221900 has 144 divisors (see below), whose sum is σ = 330714332928. Its totient is φ = 23283744000.

The previous prime is 100411221893. The next prime is 100411221901. The reversal of 100411221900 is 9122114001.

It is a happy number.

It is a super-2 number, since 2×100411221900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100411221901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585571 + ... + 737370.

It is an arithmetic number, because the mean of its divisors is an integer number (2296627312).

Almost surely, 2^100411221900 is an apocalyptic number.

100411221900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100411221900 is an abundant number, since it is smaller than the sum of its proper divisors (230303111028).

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

100411221900 is a wasteful number, since it uses less digits than its factorization.

100411221900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322992 (or 1322985 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 100411221900 its reverse (9122114001), we get a palindrome (109533335901).

The spelling of 100411221900 in words is "one hundred billion, four hundred eleven million, two hundred twenty-one thousand, nine hundred".