103101032202012 has 288 divisors, whose sum is σ = 297665706024960. Its totient is φ = 29868564049920.

The previous prime is 103101032202011. The next prime is 103101032202089. The reversal of 103101032202012 is 210202230101301.

103101032202012 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 0 + 322 + 0 + 20 + 12 = 666.

It is a super-2 number, since 2×103101032202012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103101032202011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82408413 + ... + 83650155.

Almost surely, 2^{103101032202012} is an apocalyptic number.

103101032202012 is a gapful number since it is divisible by the number (12) 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 103101032202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148832853012480).

103101032202012 is an abundant number, since it is smaller than the sum of its proper divisors (194564673822948).

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

103101032202012 is a wasteful number, since it uses less digits than its factorization.

103101032202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241953 (or 1241948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103101032202012 its reverse (210202230101301), we get a palindrome (313303262303313).

The spelling of 103101032202012 in words is "one hundred three trillion, one hundred one billion, thirty-two million, two hundred two thousand, twelve".