1030112101200 has 960 divisors, whose sum is σ = 4195832893952. Its totient is φ = 210213273600.

The previous prime is 1030112101171. The next prime is 1030112101217. The reversal of 1030112101200 is 21012110301.

It is a super-2 number, since 2×1030112101200² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 779796540 + ... + 779797860.

Almost surely, 2^{1030112101200} is an apocalyptic number.

1030112101200 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 1030112101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097916446976).

1030112101200 is an abundant number, since it is smaller than the sum of its proper divisors (3165720792752).

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

1030112101200 is a wasteful number, since it uses less digits than its factorization.

1030112101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1581 counting only the distinct ones).

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

Adding to 1030112101200 its reverse (21012110301), we get a palindrome (1051124211501).

The spelling of 1030112101200 in words is "one trillion, thirty billion, one hundred twelve million, one hundred one thousand, two hundred".