1020221120112 has 40 divisors (see below), whose sum is σ = 2635722084240. Its totient is φ = 340054241280.

The previous prime is 1020221120077. The next prime is 1020221120147. The reversal of 1020221120112 is 2110211220201.

It is an interprime number because it is at equal distance from previous prime (1020221120077) and next prime (1020221120147).

It is a super-2 number, since 2×1020221120112² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020221120091 and 1020221120100.

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 7 ways as a sum of consecutive naturals, for example, 251562 + ... + 1450422.

It is an arithmetic number, because the mean of its divisors is an integer number (65893052106).

Almost surely, 2^{1020221120112} is an apocalyptic number.

1020221120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020221120112 is an abundant number, since it is smaller than the sum of its proper divisors (1615500964128).

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

1020221120112 is a wasteful number, since it uses less digits than its factorization.

1020221120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216601 (or 1216595 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1020221120112 its reverse (2110211220201), we get a palindrome (3130432340313).

The spelling of 1020221120112 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred twenty thousand, one hundred twelve".