100110120022120 has 32 divisors (see below), whose sum is σ = 242574521593320. Its totient is φ = 36963736623360.

The previous prime is 100110120022109. The next prime is 100110120022123. The reversal of 100110120022120 is 21220021011001.

It can be written as a sum of positive squares in 4 ways, for example, as 76854713289124 + 23255406732996 = 8766682^2 + 4822386^2 .

It is a super-2 number, since 2×100110120022120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100110120022120.

It is not an unprimeable number, because it can be changed into a prime (100110120022123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96259730271 + ... + 96259731310.

Almost surely, 2^{100110120022120} is an apocalyptic number.

100110120022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110120022120 is an abundant number, since it is smaller than the sum of its proper divisors (142464401571200).

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

100110120022120 is a wasteful number, since it uses less digits than its factorization.

100110120022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192519461605 (or 192519461601 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100110120022120 its reverse (21220021011001), we get a palindrome (121330141033121).

The spelling of 100110120022120 in words is "one hundred trillion, one hundred ten billion, one hundred twenty million, twenty-two thousand, one hundred twenty".