103011001200 has 180 divisors, whose sum is σ = 361784787000. Its totient is φ = 27138562560.

The previous prime is 103011001139. The next prime is 103011001201. The reversal of 103011001200 is 2100110301.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×103011001200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011001201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126426 + ... + 471174.

Almost surely, 2^103011001200 is an apocalyptic number.

103011001200 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 103011001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180892393500).

103011001200 is an abundant number, since it is smaller than the sum of its proper divisors (258773785800).

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

103011001200 is a wasteful number, since it uses less digits than its factorization.

103011001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344856 (or 344842 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 103011001200 its reverse (2100110301), we get a palindrome (105111111501).

The spelling of 103011001200 in words is "one hundred three billion, eleven million, one thousand, two hundred".