100000120120110 has 96 divisors (see below), whose sum is σ = 310062484293120. Its totient is φ = 21863380296384.

The previous prime is 100000120120079. The next prime is 100000120120111. The reversal of 100000120120110 is 11021021000001.

It is a happy number.

It is a super-3 number, since 3×100000120120110³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100000120120092 and 100000120120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000120120111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3450645280 + ... + 3450674259.

It is an arithmetic number, because the mean of its divisors is an integer number (3229817544720).

Almost surely, 2^{100000120120110} is an apocalyptic number.

100000120120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100000120120110 is an abundant number, since it is smaller than the sum of its proper divisors (210062364173010).

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

100000120120110 is a wasteful number, since it uses less digits than its factorization.

100000120120110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901319582 (or 6901319579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100000120120110 its reverse (11021021000001), we get a palindrome (111021141120111).

The spelling of 100000120120110 in words is "one hundred trillion, one hundred twenty million, one hundred twenty thousand, one hundred ten".