1012112221020 has 48 divisors (see below), whose sum is σ = 2834563001760. Its totient is φ = 269834803456.

The previous prime is 1012112220989. The next prime is 1012112221031. The reversal of 1012112221020 is 201222112101.

It is a super-3 number, since 3×1012112221020³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 1666335 + ... + 2191094.

It is an arithmetic number, because the mean of its divisors is an integer number (59053395870).

Almost surely, 2^{1012112221020} is an apocalyptic number.

1012112221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012112221020 is an abundant number, since it is smaller than the sum of its proper divisors (1822450780740).

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

1012112221020 is a wasteful number, since it uses less digits than its factorization.

1012112221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861814 (or 3861812 counting only the distinct ones).

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

Adding to 1012112221020 its reverse (201222112101), we get a palindrome (1213334333121).

The spelling of 1012112221020 in words is "one trillion, twelve billion, one hundred twelve million, two hundred twenty-one thousand, twenty".