101241440100 has 54 divisors (see below), whose sum is σ = 317335672290. Its totient is φ = 26997717120.

The previous prime is 101241440099. The next prime is 101241440107. The reversal of 101241440100 is 1044142101.

101241440100 is a `hidden beast` number, since 1 + 0 + 124 + 1 + 440 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 437730084 + 100803710016 = 20922^2 + 317496^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101241440107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56244345 + ... + 56246144.

Almost surely, 2^101241440100 is an apocalyptic number.

101241440100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101241440100 is an abundant number, since it is smaller than the sum of its proper divisors (216094232190).

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

101241440100 is a wasteful number, since it uses less digits than its factorization.

101241440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112490509 (or 112490499 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101241440100 its reverse (1044142101), we get a palindrome (102285582201).

The spelling of 101241440100 in words is "one hundred one billion, two hundred forty-one million, four hundred forty thousand, one hundred".