10100410542450 has 120 divisors (see below), whose sum is σ = 28080316913220. Its totient is φ = 2691893865600.

The previous prime is 10100410542433. The next prime is 10100410542451. The reversal of 10100410542450 is 5424501400101.

10100410542450 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 410 + 5 + 4 + 245 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 334404288729 + 9766006253721 = 578277^2 + 3125061^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10100410542451) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6334816 + ... + 7767284.

Almost surely, 2^{10100410542450} is an apocalyptic number.

10100410542450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100410542450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040158456610).

10100410542450 is an abundant number, since it is smaller than the sum of its proper divisors (17979906370770).

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

10100410542450 is a wasteful number, since it uses less digits than its factorization.

10100410542450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434234 (or 1434220 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10100410542450 its reverse (5424501400101), we get a palindrome (15524911942551).

The spelling of 10100410542450 in words is "ten trillion, one hundred billion, four hundred ten million, five hundred forty-two thousand, four hundred fifty".