10123100101200 has 120 divisors (see below), whose sum is σ = 32437377013888. Its totient is φ = 2698684784640.

The previous prime is 10123100101199. The next prime is 10123100101243. The reversal of 10123100101200 is 210100132101.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2749872 + ... + 5273328.

Almost surely, 2^{10123100101200} is an apocalyptic number.

10123100101200 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 10123100101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218688506944).

10123100101200 is an abundant number, since it is smaller than the sum of its proper divisors (22314276912688).

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

10123100101200 is a wasteful number, since it uses less digits than its factorization.

10123100101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526821 (or 2526810 counting only the distinct ones).

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

Adding to 10123100101200 its reverse (210100132101), we get a palindrome (10333200233301).

The spelling of 10123100101200 in words is "ten trillion, one hundred twenty-three billion, one hundred million, one hundred one thousand, two hundred".