1021010012120 has 64 divisors (see below), whose sum is σ = 2626832436480. Its totient is φ = 349876826496.

The previous prime is 1021010012093. The next prime is 1021010012123. The reversal of 1021010012120 is 212100101201.

It is a super-3 number, since 3×1021010012120³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021010012123) 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 15 ways as a sum of consecutive naturals, for example, 422114 + ... + 1490033.

It is an arithmetic number, because the mean of its divisors is an integer number (41044256820).

Almost surely, 2^{1021010012120} is an apocalyptic number.

1021010012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021010012120 is an abundant number, since it is smaller than the sum of its proper divisors (1605822424360).

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

1021010012120 is a wasteful number, since it uses less digits than its factorization.

1021010012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914072 (or 1914068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1021010012120 its reverse (212100101201), we get a palindrome (1233110113321).

The spelling of 1021010012120 in words is "one trillion, twenty-one billion, ten million, twelve thousand, one hundred twenty".