10021112101100 has 36 divisors (see below), whose sum is σ = 21779423621424. Its totient is φ = 4002249382080.

The previous prime is 10021112101069. The next prime is 10021112101181. The reversal of 10021112101100 is 110121112001.

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 11 ways as a sum of consecutive naturals, for example, 77378207 + ... + 77507606.

It is an arithmetic number, because the mean of its divisors is an integer number (604983989484).

Almost surely, 2^{10021112101100} is an apocalyptic number.

10021112101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021112101100 is an abundant number, since it is smaller than the sum of its proper divisors (11758311520324).

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

10021112101100 is a wasteful number, since it uses less digits than its factorization.

10021112101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154886474 (or 154886467 counting only the distinct ones).

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

Adding to 10021112101100 its reverse (110121112001), we get a palindrome (10131233213101).

The spelling of 10021112101100 in words is "ten trillion, twenty-one billion, one hundred twelve million, one hundred one thousand, one hundred".