1021012002112 has 56 divisors (see below), whose sum is σ = 2203231172904. Its totient is φ = 467490373632.

The previous prime is 1021012002107. The next prime is 1021012002121. The reversal of 1021012002112 is 2112002101201.

It can be written as a sum of positive squares in 4 ways, for example, as 852564142336 + 168447859776 = 923344^2 + 410424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1021012002092 and 1021012002101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12641233 + ... + 12721744.

Almost surely, 2^{1021012002112} is an apocalyptic number.

It is an amenable number.

1021012002112 is an abundant number, since it is smaller than the sum of its proper divisors (1182219170792).

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

1021012002112 is a wasteful number, since it uses less digits than its factorization.

1021012002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25363043 (or 25363033 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1021012002112 its reverse (2112002101201), we get a palindrome (3133014103313).

The spelling of 1021012002112 in words is "one trillion, twenty-one billion, twelve million, two thousand, one hundred twelve".