1021002142000 has 40 divisors (see below), whose sum is σ = 2468783184192. Its totient is φ = 408400856000.

The previous prime is 1021002141953. The next prime is 1021002142073. The reversal of 1021002142000 is 2412001201.

It is a happy number.

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

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, 255248536 + ... + 255252535.

Almost surely, 2^{1021002142000} is an apocalyptic number.

1021002142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021002142000 is an abundant number, since it is smaller than the sum of its proper divisors (1447781042192).

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

1021002142000 is an equidigital number, since it uses as much as digits as its factorization.

1021002142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510501094 (or 510501078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1021002142000 its reverse (2412001201), we get a palindrome (1023414143201).

The spelling of 1021002142000 in words is "one trillion, twenty-one billion, two million, one hundred forty-two thousand".