10011404220100 has 36 divisors (see below), whose sum is σ = 21732246836244. Its totient is φ = 4003179258880.

The previous prime is 10011404220071. The next prime is 10011404220107. The reversal of 10011404220100 is 102240411001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 737479042756 + 9273925177344 = 858766^2 + 3045312^2 .

It is not an unprimeable number, because it can be changed into a prime (10011404220107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16989217 + ... + 17568616.

It is an arithmetic number, because the mean of its divisors is an integer number (603673523229).

Almost surely, 2^{10011404220100} is an apocalyptic number.

10011404220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011404220100 is an abundant number, since it is smaller than the sum of its proper divisors (11720842616144).

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

10011404220100 is a wasteful number, since it uses less digits than its factorization.

10011404220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34560744 (or 34560737 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10011404220100 its reverse (102240411001), we get a palindrome (10113644631101).

The spelling of 10011404220100 in words is "ten trillion, eleven billion, four hundred four million, two hundred twenty thousand, one hundred".