10201434423012 has 240 divisors, whose sum is σ = 31661497486080. Its totient is φ = 2803552819200.

The previous prime is 10201434422989. The next prime is 10201434423013. The reversal of 10201434423012 is 21032443410201.

10201434423012 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 14 + 344 + 2 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10201434423013) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5829564 + ... + 7374732.

It is an arithmetic number, because the mean of its divisors is an integer number (131922906192).

Almost surely, 2^{10201434423012} is an apocalyptic number.

10201434423012 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 10201434423012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15830748743040).

10201434423012 is an abundant number, since it is smaller than the sum of its proper divisors (21460063063068).

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

10201434423012 is a wasteful number, since it uses less digits than its factorization.

10201434423012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545304 (or 1545293 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10201434423012 its reverse (21032443410201), we get a palindrome (31233877833213).

The spelling of 10201434423012 in words is "ten trillion, two hundred one billion, four hundred thirty-four million, four hundred twenty-three thousand, twelve".