10001001210 has 64 divisors (see below), whose sum is σ = 24768526464. Its totient is φ = 2582496000.

The previous prime is 10001001203. The next prime is 10001001217. The reversal of 10001001210 is 1210010001.

10001001210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10001001203) and next prime (10001001217).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (10001001217) 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 31 ways as a sum of consecutive naturals, for example, 212860 + ... + 255560.

It is an arithmetic number, because the mean of its divisors is an integer number (387008226).

Almost surely, 2^10001001210 is an apocalyptic number.

10001001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12384263232).

10001001210 is an abundant number, since it is smaller than the sum of its proper divisors (14767525254).

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

10001001210 is a wasteful number, since it uses less digits than its factorization.

10001001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42959.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001001210 its reverse (1210010001), we get a palindrome (11211011211).

The spelling of 10001001210 in words is "ten billion, one million, one thousand, two hundred ten".