103010001100000 has 216 divisors, whose sum is σ = 264985348992840. Its totient is φ = 39412501920000.

The previous prime is 103010001099983. The next prime is 103010001100009. The reversal of 103010001100000 is 1100010301.

It is a happy number.

It is a super-2 number, since 2×103010001100000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103010001100009) 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, 51926371 + ... + 53873629.

It is an arithmetic number, because the mean of its divisors is an integer number (1226784023115).

Almost surely, 2^{103010001100000} is an apocalyptic number.

103010001100000 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 103010001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132492674496420).

103010001100000 is an abundant number, since it is smaller than the sum of its proper divisors (161975347892840).

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

103010001100000 is an frugal number, since it uses more digits than its factorization.

103010001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947340 (or 1947289 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 103010001100000 its reverse (1100010301), we get a palindrome (103011101110301).

The spelling of 103010001100000 in words is "one hundred three trillion, ten billion, one million, one hundred thousand".