10122212211100 has 72 divisors (see below), whose sum is σ = 24354857345616. Its totient is φ = 3620463360000.

The previous prime is 10122212211077. The next prime is 10122212211119. The reversal of 10122212211100 is 111221222101.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 75359221 + ... + 75493420.

It is an arithmetic number, because the mean of its divisors is an integer number (338261907578).

Almost surely, 2^{10122212211100} is an apocalyptic number.

10122212211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122212211100 is an abundant number, since it is smaller than the sum of its proper divisors (14232645134516).

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

10122212211100 is a wasteful number, since it uses less digits than its factorization.

10122212211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150852727 (or 150852720 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10122212211100 its reverse (111221222101), we get a palindrome (10233433433201).

The spelling of 10122212211100 in words is "ten trillion, one hundred twenty-two billion, two hundred twelve million, two hundred eleven thousand, one hundred".