10211220000120 has 128 divisors (see below), whose sum is σ = 30965942952000. Its totient is φ = 2693506252800.

The previous prime is 10211220000109. The next prime is 10211220000203. The reversal of 10211220000120 is 2100002211201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10211220000096 and 10211220000105.

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 31 ways as a sum of consecutive naturals, for example, 12562216 + ... + 13350344.

Almost surely, 2^{10211220000120} is an apocalyptic number.

10211220000120 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 10211220000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482971476000).

10211220000120 is an abundant number, since it is smaller than the sum of its proper divisors (20754722951880).

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

10211220000120 is a wasteful number, since it uses less digits than its factorization.

10211220000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789313 (or 789309 counting only the distinct ones).

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

Adding to 10211220000120 its reverse (2100002211201), we get a palindrome (12311222211321).

The spelling of 10211220000120 in words is "ten trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty", and thus it is an aban number.