101003210100 has 216 divisors, whose sum is σ = 360998066520. Its totient is φ = 23399792640.

The previous prime is 101003210071. The next prime is 101003210123. The reversal of 101003210100 is 1012300101.

It can be written as a sum of positive squares in 12 ways, for example, as 54848703204 + 46154506896 = 234198^2 + 214836^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 55005 + ... + 452804.

It is an arithmetic number, because the mean of its divisors is an integer number (1671287345).

Almost surely, 2^101003210100 is an apocalyptic number.

101003210100 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 101003210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180499033260).

101003210100 is an abundant number, since it is smaller than the sum of its proper divisors (259994856420).

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

101003210100 is a wasteful number, since it uses less digits than its factorization.

101003210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507859 (or 507849 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101003210100 its reverse (1012300101), we get a palindrome (102015510201).

Subtracting from 101003210100 its reverse (1012300101), we obtain a palindrome (99990909999).

The spelling of 101003210100 in words is "one hundred one billion, three million, two hundred ten thousand, one hundred".