10123123210200 has 1152 divisors, whose sum is σ = 46880069483520. Its totient is φ = 1889207193600.

The previous prime is 10123123210159. The next prime is 10123123210241. The reversal of 10123123210200 is 201232132101.

10123123210200 is a `hidden beast` number, since 1 + 0 + 1 + 231 + 23 + 210 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (10123123210159) and next prime (10123123210241).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66590677 + ... + 66742523.

It is an arithmetic number, because the mean of its divisors is an integer number (40694504760).

Almost surely, 2^{10123123210200} is an apocalyptic number.

10123123210200 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 10123123210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23440034741760).

10123123210200 is an abundant number, since it is smaller than the sum of its proper divisors (36756946273320).

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

10123123210200 is a wasteful number, since it uses less digits than its factorization.

10123123210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151937 (or 151925 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10123123210200 its reverse (201232132101), we get a palindrome (10324355342301).

The spelling of 10123123210200 in words is "ten trillion, one hundred twenty-three billion, one hundred twenty-three million, two hundred ten thousand, two hundred".