101041024400 has 30 divisors (see below), whose sum is σ = 242751062082. Its totient is φ = 40416409600.

The previous prime is 101041024387. The next prime is 101041024417. The reversal of 101041024400 is 4420140101.

It can be written as a sum of positive squares in 3 ways, for example, as 30214782976 + 70826241424 = 173824^2 + 266132^2 .

It is a super-2 number, since 2×101041024400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126300881 + ... + 126301680.

Almost surely, 2^101041024400 is an apocalyptic number.

101041024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101041024400 is an abundant number, since it is smaller than the sum of its proper divisors (141710037682).

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

101041024400 is a wasteful number, since it uses less digits than its factorization.

101041024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252602579 (or 252602568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101041024400 its reverse (4420140101), we get a palindrome (105461164501).

The spelling of 101041024400 in words is "one hundred one billion, forty-one million, twenty-four thousand, four hundred".