10001201013034 has 128 divisors (see below), whose sum is σ = 20306880921600. Its totient is φ = 3576294996480.

The previous prime is 10001201013017. The next prime is 10001201013049. The reversal of 10001201013034 is 43031010210001.

It is a super-2 number, since 2×10001201013034² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001201012999 and 10001201013017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25026807 + ... + 25423285.

It is an arithmetic number, because the mean of its divisors is an integer number (158647507200).

Almost surely, 2^{10001201013034} is an apocalyptic number.

10001201013034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10001201013034 is an abundant number, since it is smaller than the sum of its proper divisors (10305679908566).

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

10001201013034 is a wasteful number, since it uses less digits than its factorization.

10001201013034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396788.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10001201013034 its reverse (43031010210001), we get a palindrome (53032211223035).

The spelling of 10001201013034 in words is "ten trillion, one billion, two hundred one million, thirteen thousand, thirty-four".