100110220011120 has 320 divisors, whose sum is σ = 340689943448064. Its totient is φ = 24116548546560.

The previous prime is 100110220011079. The next prime is 100110220011143. The reversal of 100110220011120 is 21110022011001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100110220011096 and 100110220011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 268224954 + ... + 268597926.

Almost surely, 2^{100110220011120} is an apocalyptic number.

100110220011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110220011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170344971724032).

100110220011120 is an abundant number, since it is smaller than the sum of its proper divisors (240579723436944).

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

100110220011120 is a wasteful number, since it uses less digits than its factorization.

100110220011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373640 (or 373634 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100110220011120 its reverse (21110022011001), we get a palindrome (121220242022121).

The spelling of 100110220011120 in words is "one hundred trillion, one hundred ten billion, two hundred twenty million, eleven thousand, one hundred twenty".