10204445045100 has 576 divisors, whose sum is σ = 31743488286720. Its totient is φ = 2525355571200.

The previous prime is 10204445045051. The next prime is 10204445045101. The reversal of 10204445045100 is 154054440201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10204445045101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12339110887 + ... + 12339111713.

It is an arithmetic number, because the mean of its divisors is an integer number (55110222720).

Almost surely, 2^{10204445045100} is an apocalyptic number.

10204445045100 is a gapful number since it is divisible by the number (10) 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 10204445045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871744143360).

10204445045100 is an abundant number, since it is smaller than the sum of its proper divisors (21539043241620).

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

10204445045100 is a wasteful number, since it uses less digits than its factorization.

10204445045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 10204445045100 its reverse (154054440201), we get a palindrome (10358499485301).

The spelling of 10204445045100 in words is "ten trillion, two hundred four billion, four hundred forty-five million, forty-five thousand, one hundred".