120211021011020 has 192 divisors, whose sum is σ = 275100458371200. Its totient is φ = 43944492072960.

The previous prime is 120211021011017. The next prime is 120211021011023. The reversal of 120211021011020 is 20110120112021.

It is an interprime number because it is at equal distance from previous prime (120211021011017) and next prime (120211021011023).

It is a super-2 number, since 2×120211021011020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120211021010986 and 120211021011004.

It is not an unprimeable number, because it can be changed into a prime (120211021011023) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15096193559 + ... + 15096201521.

It is an arithmetic number, because the mean of its divisors is an integer number (1432814887350).

Almost surely, 2^{120211021011020} is an apocalyptic number.

120211021011020 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 120211021011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137550229185600).

120211021011020 is an abundant number, since it is smaller than the sum of its proper divisors (154889437360180).

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

120211021011020 is a wasteful number, since it uses less digits than its factorization.

120211021011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988 (or 12986 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120211021011020 its reverse (20110120112021), we get a palindrome (140321141123041).

The spelling of 120211021011020 in words is "one hundred twenty trillion, two hundred eleven billion, twenty-one million, eleven thousand, twenty".