10011101221100 has 36 divisors (see below), whose sum is σ = 24827531030064. Its totient is φ = 3432377561280.

The previous prime is 10011101221039. The next prime is 10011101221123. The reversal of 10011101221100 is 112210111001.

It is a super-2 number, since 2×10011101221100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7150785887 + ... + 7150787286.

It is an arithmetic number, because the mean of its divisors is an integer number (689653639724).

Almost surely, 2^{10011101221100} is an apocalyptic number.

10011101221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011101221100 is an abundant number, since it is smaller than the sum of its proper divisors (14816429808964).

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

10011101221100 is a wasteful number, since it uses less digits than its factorization.

10011101221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14301573194 (or 14301573187 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011101221100 its reverse (112210111001), we get a palindrome (10123311332101).

The spelling of 10011101221100 in words is "ten trillion, eleven billion, one hundred one million, two hundred twenty-one thousand, one hundred".