10211012210000 has 200 divisors, whose sum is σ = 28262474163264. Its totient is φ = 3499816320000.

The previous prime is 10211012209999. The next prime is 10211012210023. The reversal of 10211012210000 is 1221011201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 240288755 + ... + 240331245.

Almost surely, 2^{10211012210000} is an apocalyptic number.

10211012210000 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 10211012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14131237081632).

10211012210000 is an abundant number, since it is smaller than the sum of its proper divisors (18051461953264).

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

10211012210000 is an equidigital number, since it uses as much as digits as its factorization.

10211012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45959 (or 45938 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10211012210000 its reverse (1221011201), we get a palindrome (10212233221201).

The spelling of 10211012210000 in words is "ten trillion, two hundred eleven billion, twelve million, two hundred ten thousand".