10211201220000 has 480 divisors, whose sum is σ = 36704146913280. Its totient is φ = 2464306560000.

The previous prime is 10211201219969. The next prime is 10211201220001. The reversal of 10211201220000 is 2210211201.

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 not an unprimeable number, because it can be changed into a prime (10211201220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147145311 + ... + 147214689.

It is an arithmetic number, because the mean of its divisors is an integer number (76466972736).

Almost surely, 2^{10211201220000} is an apocalyptic number.

10211201220000 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 10211201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352073456640).

10211201220000 is an abundant number, since it is smaller than the sum of its proper divisors (26492945693280).

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

10211201220000 is a wasteful number, since it uses less digits than its factorization.

10211201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69646 (or 69623 counting only the distinct ones).

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

Adding to 10211201220000 its reverse (2210211201), we get a palindrome (10213411431201).

It can be divided in two parts, 1021 and 1201220000, that added together give a palindrome (1201221021).

The spelling of 10211201220000 in words is "ten trillion, two hundred eleven billion, two hundred one million, two hundred twenty thousand".