10100021331101 has 24 divisors (see below), whose sum is σ = 10960086518280. Its totient is φ = 9303189831936.

The previous prime is 10100021331073. The next prime is 10100021331119. The reversal of 10100021331101 is 10113312000101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1496793199225 + 8603228131876 = 1223435^2 + 2933126^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10100021331101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100021331401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153097415 + ... + 153163371.

It is an arithmetic number, because the mean of its divisors is an integer number (456670271595).

Almost surely, 2^{10100021331101} is an apocalyptic number.

It is an amenable number.

10100021331101 is a deficient number, since it is larger than the sum of its proper divisors (860065187179).

10100021331101 is a wasteful number, since it uses less digits than its factorization.

10100021331101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67905 (or 67892 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10100021331101 its reverse (10113312000101), we get a palindrome (20213333331202).

The spelling of 10100021331101 in words is "ten trillion, one hundred billion, twenty-one million, three hundred thirty-one thousand, one hundred one".