10203311123000 has 128 divisors (see below), whose sum is σ = 24182334259200. Its totient is φ = 4028935248000.

The previous prime is 10203311122981. The next prime is 10203311123051. The reversal of 10203311123000 is 32111330201.

It is a super-2 number, since 2×10203311123000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10203311123000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718181897 + ... + 718196103.

It is an arithmetic number, because the mean of its divisors is an integer number (188924486400).

Almost surely, 2^{10203311123000} is an apocalyptic number.

10203311123000 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 10203311123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091167129600).

10203311123000 is an abundant number, since it is smaller than the sum of its proper divisors (13979023136200).

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

10203311123000 is a wasteful number, since it uses less digits than its factorization.

10203311123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23398 (or 23384 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10203311123000 its reverse (32111330201), we get a palindrome (10235422453201).

The spelling of 10203311123000 in words is "ten trillion, two hundred three billion, three hundred eleven million, one hundred twenty-three thousand".