10212200100 has 216 divisors, whose sum is σ = 33497231040. Its totient is φ = 2597379840.

The previous prime is 10212200093. The next prime is 10212200107. The reversal of 10212200100 is 100221201.

It is an interprime number because it is at equal distance from previous prime (10212200093) and next prime (10212200107).

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

It is not an unprimeable number, because it can be changed into a prime (10212200107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12812902 + ... + 12813698.

Almost surely, 2^10212200100 is an apocalyptic number.

10212200100 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 10212200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748615520).

10212200100 is an abundant number, since it is smaller than the sum of its proper divisors (23285030940).

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

10212200100 is a wasteful number, since it uses less digits than its factorization.

10212200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10212200100 its reverse (100221201), we get a palindrome (10312421301).

The spelling of 10212200100 in words is "ten billion, two hundred twelve million, two hundred thousand, one hundred".