120003110100 has 216 divisors, whose sum is σ = 392648693528. Its totient is φ = 30624998400.

The previous prime is 120003110093. The next prime is 120003110111. The reversal of 120003110100 is 1011300021.

It can be written as a sum of positive squares in 12 ways, for example, as 58856700816 + 61146409284 = 242604^2 + 247278^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2001762 + ... + 2060838.

Almost surely, 2^120003110100 is an apocalyptic number.

120003110100 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 120003110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196324346764).

120003110100 is an abundant number, since it is smaller than the sum of its proper divisors (272645583428).

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

120003110100 is a wasteful number, since it uses less digits than its factorization.

120003110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59195 (or 59185 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 120003110100 its reverse (1011300021), we get a palindrome (121014410121).

The spelling of 120003110100 in words is "one hundred twenty billion, three million, one hundred ten thousand, one hundred".