10211012220000 has 480 divisors, whose sum is σ = 33918795785952. Its totient is φ = 2688602112000.

The previous prime is 10211012219983. The next prime is 10211012220001. The reversal of 10211012220000 is 2221011201.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211012220001) by changing a digit.

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, 1878057282 + ... + 1878062718.

Almost surely, 2^{10211012220000} is an apocalyptic number.

10211012220000 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 10211012220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959397892976).

10211012220000 is an abundant number, since it is smaller than the sum of its proper divisors (23707783565952).

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

10211012220000 is a wasteful number, since it uses less digits than its factorization.

10211012220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 5837 counting only the distinct ones).

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

Adding to 10211012220000 its reverse (2221011201), we get a palindrome (10213233231201).

The spelling of 10211012220000 in words is "ten trillion, two hundred eleven billion, twelve million, two hundred twenty thousand".