10211202210000 has 400 divisors, whose sum is σ = 35974462487040. Its totient is φ = 2474431680000.

The previous prime is 10211202209981. The next prime is 10211202210019. The reversal of 10211202210000 is 1220211201.

It is an interprime number because it is at equal distance from previous prime (10211202209981) and next prime (10211202210019).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1095265339 + ... + 1095274661.

Almost surely, 2^{10211202210000} is an apocalyptic number.

10211202210000 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 10211202210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987231243520).

10211202210000 is an abundant number, since it is smaller than the sum of its proper divisors (25763260277040).

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

10211202210000 is a wasteful number, since it uses less digits than its factorization.

10211202210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12684 (or 12663 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211202210000 its reverse (1220211201), we get a palindrome (10212422421201).

The spelling of 10211202210000 in words is "ten trillion, two hundred eleven billion, two hundred two million, two hundred ten thousand".