100011122221120 has 112 divisors (see below), whose sum is σ = 260401627479168. Its totient is φ = 36283690229760.

The previous prime is 100011122221103. The next prime is 100011122221139. The reversal of 100011122221120 is 21122221110001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100011122221094 and 100011122221103.

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 15 ways as a sum of consecutive naturals, for example, 31284444 + ... + 34332763.

It is an arithmetic number, because the mean of its divisors is an integer number (2325014531064).

Almost surely, 2^{100011122221120} is an apocalyptic number.

100011122221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011122221120 is an abundant number, since it is smaller than the sum of its proper divisors (160390505258048).

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

100011122221120 is a wasteful number, since it uses less digits than its factorization.

100011122221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65617668 (or 65617658 counting only the distinct ones).

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

Adding to 100011122221120 its reverse (21122221110001), we get a palindrome (121133343331121).

The spelling of 100011122221120 in words is "one hundred trillion, eleven billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".