10235550541100 has 108 divisors (see below), whose sum is σ = 23893208132640. Its totient is φ = 3804605875200.

The previous prime is 10235550541081. The next prime is 10235550541109. The reversal of 10235550541100 is 114505553201.

It is not an unprimeable number, because it can be changed into a prime (10235550541109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41510 + ... + 4524690.

Almost surely, 2^{10235550541100} is an apocalyptic number.

10235550541100 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 10235550541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946604066320).

10235550541100 is an abundant number, since it is smaller than the sum of its proper divisors (13657657591540).

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

10235550541100 is a wasteful number, since it uses less digits than its factorization.

10235550541100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483308 (or 4483284 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 32.

The spelling of 10235550541100 in words is "ten trillion, two hundred thirty-five billion, five hundred fifty million, five hundred forty-one thousand, one hundred".