10111002321100 has 72 divisors (see below), whose sum is σ = 23531425298640. Its totient is φ = 3759244519680.

The previous prime is 10111002321019. The next prime is 10111002321143. The reversal of 10111002321100 is 112320011101.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 50102887 + ... + 50304286.

It is an arithmetic number, because the mean of its divisors is an integer number (326825351370).

Almost surely, 2^{10111002321100} is an apocalyptic number.

10111002321100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111002321100 is an abundant number, since it is smaller than the sum of its proper divisors (13420422977540).

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

10111002321100 is a wasteful number, since it uses less digits than its factorization.

10111002321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100407259 (or 100407252 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10111002321100 its reverse (112320011101), we get a palindrome (10223322332201).

The spelling of 10111002321100 in words is "ten trillion, one hundred eleven billion, two million, three hundred twenty-one thousand, one hundred".