10211010210000 has 1200 divisors, whose sum is σ = 38946953485440. Its totient is φ = 2488112640000.

The previous prime is 10211010209969. The next prime is 10211010210013. The reversal of 10211010210000 is 1201011201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5528429077 + ... + 5528430923.

Almost surely, 2^{10211010210000} is an apocalyptic number.

10211010210000 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 10211010210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19473476742720).

10211010210000 is an abundant number, since it is smaller than the sum of its proper divisors (28735943275440).

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

10211010210000 is a wasteful number, since it uses less digits than its factorization.

10211010210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1990 counting only the distinct ones).

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

Adding to 10211010210000 its reverse (1201011201), we get a palindrome (10212211221201).

The spelling of 10211010210000 in words is "ten trillion, two hundred eleven billion, ten million, two hundred ten thousand".