1002010102000 has 40 divisors (see below), whose sum is σ = 2422860431472. Its totient is φ = 400804040000.

The previous prime is 1002010101971. The next prime is 1002010102003. The reversal of 1002010102000 is 2010102001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002010102003) by changing a digit.

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, 250500526 + ... + 250504525.

Almost surely, 2^{1002010102000} is an apocalyptic number.

1002010102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002010102000 is an abundant number, since it is smaller than the sum of its proper divisors (1420850329472).

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

1002010102000 is an equidigital number, since it uses as much as digits as its factorization.

1002010102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501005074 (or 501005058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1002010102000 its reverse (2010102001), we get a palindrome (1004020204001).

Subtracting from 1002010102000 its reverse (2010102001), we obtain a palindrome (999999999999).

The spelling of 1002010102000 in words is "one trillion, two billion, ten million, one hundred two thousand".