1021002112010 has 8 divisors (see below), whose sum is σ = 1837803801636. Its totient is φ = 408400844800.

The previous prime is 1021002112007. The next prime is 1021002112019. The reversal of 1021002112010 is 102112001201.

It can be written as a sum of positive squares in 2 ways, for example, as 1016110368529 + 4891743481 = 1008023^2 + 69941^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×1021002112010³ (a number of 37 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1021002111982 and 1021002112000.

It is not an unprimeable number, because it can be changed into a prime (1021002112019) 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 3 ways as a sum of consecutive naturals, for example, 51050105591 + ... + 51050105610.

Almost surely, 2^{1021002112010} is an apocalyptic number.

1021002112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021002112010 is a deficient number, since it is larger than the sum of its proper divisors (816801689626).

1021002112010 is a wasteful number, since it uses less digits than its factorization.

1021002112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102100211208.

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

Adding to 1021002112010 its reverse (102112001201), we get a palindrome (1123114113211).

The spelling of 1021002112010 in words is "one trillion, twenty-one billion, two million, one hundred twelve thousand, ten".