10204441151034 has 96 divisors (see below), whose sum is σ = 22421323874304. Its totient is φ = 3094154306880.

The previous prime is 10204441151033. The next prime is 10204441151089. The reversal of 10204441151034 is 43015114440201.

It is a super-2 number, since 2×10204441151034² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10204441150992 and 10204441151010.

It is not an unprimeable number, because it can be changed into a prime (10204441151033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158858647 + ... + 158922869.

It is an arithmetic number, because the mean of its divisors is an integer number (233555457024).

Almost surely, 2^{10204441151034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10204441151034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11210661937152).

10204441151034 is an abundant number, since it is smaller than the sum of its proper divisors (12216882723270).

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

10204441151034 is a wasteful number, since it uses less digits than its factorization.

10204441151034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66532 (or 66519 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 10204441151034 its reverse (43015114440201), we get a palindrome (53219555591235).

The spelling of 10204441151034 in words is "ten trillion, two hundred four billion, four hundred forty-one million, one hundred fifty-one thousand, thirty-four".