101063410100 has 18 divisors (see below), whose sum is σ = 219307600134. Its totient is φ = 40425364000.

The previous prime is 101063410073. The next prime is 101063410111. The reversal of 101063410100 is 1014360101.

It can be written as a sum of positive squares in 3 ways, for example, as 16913522704 + 84149887396 = 130052^2 + 290086^2 .

It is a super-2 number, since 2×101063410100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505316951 + ... + 505317150.

It is an arithmetic number, because the mean of its divisors is an integer number (12183755563).

Almost surely, 2^101063410100 is an apocalyptic number.

101063410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101063410100 is an abundant number, since it is smaller than the sum of its proper divisors (118244190034).

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

101063410100 is a wasteful number, since it uses less digits than its factorization.

101063410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010634115 (or 1010634108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101063410100 its reverse (1014360101), we get a palindrome (102077770201).

The spelling of 101063410100 in words is "one hundred one billion, sixty-three million, four hundred ten thousand, one hundred".