100022223111120 has 120 divisors (see below), whose sum is σ = 335921096923776. Its totient is φ = 26671550171904.

The previous prime is 100022223111073. The next prime is 100022223111121. The reversal of 100022223111120 is 21111322220001.

100022223111120 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 222 + 311 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100022223111093 and 100022223111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022223111121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15803757 + ... + 21208563.

Almost surely, 2^{100022223111120} is an apocalyptic number.

100022223111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022223111120 is an abundant number, since it is smaller than the sum of its proper divisors (235898873812656).

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

100022223111120 is a wasteful number, since it uses less digits than its factorization.

100022223111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430529 (or 5430520 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100022223111120 its reverse (21111322220001), we get a palindrome (121133545331121).

The spelling of 100022223111120 in words is "one hundred trillion, twenty-two billion, two hundred twenty-three million, one hundred eleven thousand, one hundred twenty".