10213010100 has 216 divisors, whose sum is σ = 34813193688. Its totient is φ = 2493849600.

The previous prime is 10213010081. The next prime is 10213010149. The reversal of 10213010100 is 101031201.

It can be written as a sum of positive squares in 12 ways, for example, as 1946927376 + 8266082724 = 44124^2 + 90918^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 557080 + ... + 575120.

It is an arithmetic number, because the mean of its divisors is an integer number (161172193).

Almost surely, 2^10213010100 is an apocalyptic number.

10213010100 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 10213010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17406596844).

10213010100 is an abundant number, since it is smaller than the sum of its proper divisors (24600183588).

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

10213010100 is a wasteful number, since it uses less digits than its factorization.

10213010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18115 (or 18105 counting only the distinct ones).

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

Adding to 10213010100 its reverse (101031201), we get a palindrome (10314041301).

The spelling of 10213010100 in words is "ten billion, two hundred thirteen million, ten thousand, one hundred".