101243312244100 has 144 divisors (see below), whose sum is σ = 239464357800192. Its totient is φ = 36929298954240.

The previous prime is 101243312244089. The next prime is 101243312244121. The reversal of 101243312244100 is 1442213342101.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 2705357989 + ... + 2705395411.

It is an arithmetic number, because the mean of its divisors is an integer number (1662946929168).

Almost surely, 2^{101243312244100} is an apocalyptic number.

101243312244100 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 101243312244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119732178900096).

101243312244100 is an abundant number, since it is smaller than the sum of its proper divisors (138221045556092).

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

101243312244100 is a wasteful number, since it uses less digits than its factorization.

101243312244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62606 (or 62599 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 101243312244100 its reverse (1442213342101), we get a palindrome (102685525586201).

The spelling of 101243312244100 in words is "one hundred one trillion, two hundred forty-three billion, three hundred twelve million, two hundred forty-four thousand, one hundred".