2211021000120 has 64 divisors (see below), whose sum is σ = 6635547325440. Its totient is φ = 589384771200.

The previous prime is 2211021000091. The next prime is 2211021000143. The reversal of 2211021000120 is 210001201122.

It is a super-2 number, since 2×2211021000120² (a number of 25 digits) contains 22 as substring.

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 = 2211021000096 and 2211021000105.

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 15 ways as a sum of consecutive naturals, for example, 3128596 + ... + 3769635.

It is an arithmetic number, because the mean of its divisors is an integer number (103680426960).

Almost surely, 2^{2211021000120} is an apocalyptic number.

2211021000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211021000120 is an abundant number, since it is smaller than the sum of its proper divisors (4424526325320).

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

2211021000120 is a wasteful number, since it uses less digits than its factorization.

2211021000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6900916 (or 6900912 counting only the distinct ones).

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

Adding to 2211021000120 its reverse (210001201122), we get a palindrome (2421022201242).

The spelling of 2211021000120 in words is "two trillion, two hundred eleven billion, twenty-one million, one hundred twenty", and thus it is an aban number.