10200212100 has 216 divisors, whose sum is σ = 35543336192. Its totient is φ = 2429740800.

The previous prime is 10200212039. The next prime is 10200212129. The reversal of 10200212100 is 121200201.

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

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 71 ways as a sum of consecutive naturals, for example, 348639 + ... + 376761.

Almost surely, 2^10200212100 is an apocalyptic number.

10200212100 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 10200212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771668096).

10200212100 is an abundant number, since it is smaller than the sum of its proper divisors (25343124092).

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

10200212100 is a wasteful number, since it uses less digits than its factorization.

10200212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28187 (or 28177 counting only the distinct ones).

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

Adding to 10200212100 its reverse (121200201), we get a palindrome (10321412301).

It can be divided in two parts, 1020021 and 2100, that added together give a square (1022121 = 1011²).

The spelling of 10200212100 in words is "ten billion, two hundred million, two hundred twelve thousand, one hundred".