100122222011200 has 84 divisors (see below), whose sum is σ = 246451334797132. Its totient is φ = 40034568499200.

The previous prime is 100122222011167. The next prime is 100122222011219. The reversal of 100122222011200 is 2110222221001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 386207559936 + 99736014451264 = 621456^2 + 9986792^2 .

It is a super-3 number, since 3×100122222011200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6711141 + ... + 15661540.

Almost surely, 2^{100122222011200} is an apocalyptic number.

100122222011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122222011200 is an abundant number, since it is smaller than the sum of its proper divisors (146329112785932).

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

100122222011200 is a wasteful number, since it uses less digits than its factorization.

100122222011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22375500 (or 22375485 counting only the distinct ones).

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

Adding to 100122222011200 its reverse (2110222221001), we get a palindrome (102232444232201).

The spelling of 100122222011200 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twenty-two million, eleven thousand, two hundred".