1020121211120 has 160 divisors (see below), whose sum is σ = 2622387960000. Its totient is φ = 365955645440.

The previous prime is 1020121211101. The next prime is 1020121211129. The reversal of 1020121211120 is 211121210201.

It is a super-2 number, since 2×1020121211120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020121211095 and 1020121211104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020121211129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35151176 + ... + 35180184.

It is an arithmetic number, because the mean of its divisors is an integer number (16389924750).

Almost surely, 2^{1020121211120} is an apocalyptic number.

1020121211120 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 1020121211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311193980000).

1020121211120 is an abundant number, since it is smaller than the sum of its proper divisors (1602266748880).

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

1020121211120 is a wasteful number, since it uses less digits than its factorization.

1020121211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29571 (or 29565 counting only the distinct ones).

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

Adding to 1020121211120 its reverse (211121210201), we get a palindrome (1231242421321).

The spelling of 1020121211120 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".