10211001210 has 256 divisors, whose sum is σ = 30569011200. Its totient is φ = 2412748800.

The previous prime is 10211001209. The next prime is 10211001211. The reversal of 10211001210 is 1210011201.

It is a happy number.

10211001210 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 (10211001209) and next prime (10211001211).

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

It is a junction number, because it is equal to n+sod(n) for n = 10211001192 and 10211001201.

It is not an unprimeable number, because it can be changed into a prime (10211001211) 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 127 ways as a sum of consecutive naturals, for example, 5456575 + ... + 5458445.

It is an arithmetic number, because the mean of its divisors is an integer number (119410200).

Almost surely, 2^10211001210 is an apocalyptic number.

10211001210 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 10211001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284505600).

10211001210 is an abundant number, since it is smaller than the sum of its proper divisors (20358009990).

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

10211001210 is a wasteful number, since it uses less digits than its factorization.

10211001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10211001210 its reverse (1210011201), we get a palindrome (11421012411).

Subtracting from 10211001210 its reverse (1210011201), we obtain a palindrome (9000990009).

The spelling of 10211001210 in words is "ten billion, two hundred eleven million, one thousand, two hundred ten".