10211030100 has 126 divisors (see below), whose sum is σ = 33221942670. Its totient is φ = 2722921920.

The previous prime is 10211030087. The next prime is 10211030107. The reversal of 10211030100 is 103011201.

10211030100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1453439376 + 8757590724 = 38124^2 + 93582^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211030107) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 2866 + ... + 142934.

Almost surely, 2^10211030100 is an apocalyptic number.

10211030100 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 10211030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16610971335).

10211030100 is an abundant number, since it is smaller than the sum of its proper divisors (23010912570).

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

10211030100 is a wasteful number, since it uses less digits than its factorization.

10211030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140101 (or 140079 counting only the distinct ones).

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

Adding to 10211030100 its reverse (103011201), we get a palindrome (10314041301).

The spelling of 10211030100 in words is "ten billion, two hundred eleven million, thirty thousand, one hundred".