10153533034100 has 18 divisors (see below), whose sum is σ = 22033166684214. Its totient is φ = 4061413213600.

The previous prime is 10153533034081. The next prime is 10153533034103. The reversal of 10153533034100 is 143033535101.

It can be written as a sum of positive squares in 3 ways, for example, as 170625172624 + 9982907861476 = 413068^2 + 3159574^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153533034103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50767665071 + ... + 50767665270.

Almost surely, 2^{10153533034100} is an apocalyptic number.

10153533034100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10153533034100 is an abundant number, since it is smaller than the sum of its proper divisors (11879633650114).

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

10153533034100 is a wasteful number, since it uses less digits than its factorization.

10153533034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101535330355 (or 101535330348 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 10153533034100 its reverse (143033535101), we get a palindrome (10296566569201).

The spelling of 10153533034100 in words is "ten trillion, one hundred fifty-three billion, five hundred thirty-three million, thirty-four thousand, one hundred".