10211211303120 has 240 divisors, whose sum is σ = 35465611484160. Its totient is φ = 2631318183936.

The previous prime is 10211211303019. The next prime is 10211211303211. The reversal of 10211211303120 is 2130311211201.

10211211303120 is a `hidden beast` number, since 10 + 21 + 1 + 211 + 303 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×10211211303120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10211211303093 and 10211211303102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 763552 + ... + 4583168.

It is an arithmetic number, because the mean of its divisors is an integer number (147773381184).

Almost surely, 2^{10211211303120} is an apocalyptic number.

10211211303120 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 10211211303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17732805742080).

10211211303120 is an abundant number, since it is smaller than the sum of its proper divisors (25254400181040).

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

10211211303120 is a wasteful number, since it uses less digits than its factorization.

10211211303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3819762 (or 3819753 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10211211303120 its reverse (2130311211201), we get a palindrome (12341522514321).

The spelling of 10211211303120 in words is "ten trillion, two hundred eleven billion, two hundred eleven million, three hundred three thousand, one hundred twenty".