101100003210 has 24 divisors (see below), whose sum is σ = 262860008580. Its totient is φ = 26960000832.

The previous prime is 101100003131. The next prime is 101100003233. The reversal of 101100003210 is 12300001101.

It can be written as a sum of positive squares in 2 ways, for example, as 88439027769 + 12660975441 = 297387^2 + 112521^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101100003192 and 101100003201.

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 11 ways as a sum of consecutive naturals, for example, 561666595 + ... + 561666774.

Almost surely, 2^101100003210 is an apocalyptic number.

101100003210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101100003210 is an abundant number, since it is smaller than the sum of its proper divisors (161760005370).

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

101100003210 is a wasteful number, since it uses less digits than its factorization.

101100003210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123333382 (or 1123333379 counting only the distinct ones).

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

Adding to 101100003210 its reverse (12300001101), we get a palindrome (113400004311).

The spelling of 101100003210 in words is "one hundred one billion, one hundred million, three thousand, two hundred ten".