103402100134212 has 192 divisors, whose sum is σ = 265247184384000. Its totient is φ = 31091850155520.

The previous prime is 103402100134187. The next prime is 103402100134219. The reversal of 103402100134212 is 212431001204301.

It is not an unprimeable number, because it can be changed into a prime (103402100134219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27449453953 + ... + 27449457719.

It is an arithmetic number, because the mean of its divisors is an integer number (1381495752000).

Almost surely, 2^{103402100134212} is an apocalyptic number.

103402100134212 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 103402100134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132623592192000).

103402100134212 is an abundant number, since it is smaller than the sum of its proper divisors (161845084249788).

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

103402100134212 is a wasteful number, since it uses less digits than its factorization.

103402100134212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103402100134212 its reverse (212431001204301), we get a palindrome (315833101338513).

The spelling of 103402100134212 in words is "one hundred three trillion, four hundred two billion, one hundred million, one hundred thirty-four thousand, two hundred twelve".