100011011220120 has 384 divisors, whose sum is σ = 405054977149440. Its totient is φ = 19182930923520.

The previous prime is 100011011220101. The next prime is 100011011220247. The reversal of 100011011220120 is 21022110110001.

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 = 100011011220096 and 100011011220105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30461229 + ... + 33584348.

It is an arithmetic number, because the mean of its divisors is an integer number (1054830669660).

Almost surely, 2^{100011011220120} is an apocalyptic number.

100011011220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011011220120 is an abundant number, since it is smaller than the sum of its proper divisors (305043965929320).

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

100011011220120 is a wasteful number, since it uses less digits than its factorization.

100011011220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64045635 (or 64045618 counting only the distinct ones).

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

Adding to 100011011220120 its reverse (21022110110001), we get a palindrome (121033121330121).

The spelling of 100011011220120 in words is "one hundred trillion, eleven billion, eleven million, two hundred twenty thousand, one hundred twenty".