10123120200 has 384 divisors, whose sum is σ = 34294233600. Its totient is φ = 2461777920.

The previous prime is 10123120199. The next prime is 10123120201. The reversal of 10123120200 is 202132101.

It is an interprime number because it is at equal distance from previous prime (10123120199) and next prime (10123120201).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10123120201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52451304 + ... + 52451496.

It is an arithmetic number, because the mean of its divisors is an integer number (89307900).

Almost surely, 2^10123120200 is an apocalyptic number.

10123120200 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 10123120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147116800).

10123120200 is an abundant number, since it is smaller than the sum of its proper divisors (24171113400).

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

10123120200 is a wasteful number, since it uses less digits than its factorization.

10123120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10123120200 its reverse (202132101), we get a palindrome (10325252301).

The spelling of 10123120200 in words is "ten billion, one hundred twenty-three million, one hundred twenty thousand, two hundred".