103120011000 has 576 divisors, whose sum is σ = 389702832480. Its totient is φ = 24505804800.

The previous prime is 103120010971. The next prime is 103120011031. The reversal of 103120011000 is 110021301.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55232067 + ... + 55233933.

Almost surely, 2^103120011000 is an apocalyptic number.

103120011000 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 103120011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194851416240).

103120011000 is an abundant number, since it is smaller than the sum of its proper divisors (286582821480).

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

103120011000 is a wasteful number, since it uses less digits than its factorization.

103120011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1913 counting only the distinct ones).

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

Adding to 103120011000 its reverse (110021301), we get a palindrome (103230032301).

The spelling of 103120011000 in words is "one hundred three billion, one hundred twenty million, eleven thousand".