10211001120210 has 384 divisors, whose sum is σ = 29983317073920. Its totient is φ = 2214089856000.

The previous prime is 10211001120181. The next prime is 10211001120217. The reversal of 10211001120210 is 1202110011201.

It is not an unprimeable number, because it can be changed into a prime (10211001120217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87602629 + ... + 87719111.

It is an arithmetic number, because the mean of its divisors is an integer number (78081554880).

Almost surely, 2^{10211001120210} is an apocalyptic number.

10211001120210 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 10211001120210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991658536960).

10211001120210 is an abundant number, since it is smaller than the sum of its proper divisors (19772315953710).

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

10211001120210 is a wasteful number, since it uses less digits than its factorization.

10211001120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116606 (or 116595 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211001120210 its reverse (1202110011201), we get a palindrome (11413111131411).

The spelling of 10211001120210 in words is "ten trillion, two hundred eleven billion, one million, one hundred twenty thousand, two hundred ten".