1032101002000 has 80 divisors (see below), whose sum is σ = 2496382042752. Its totient is φ = 412714377600.

The previous prime is 1032101001959. The next prime is 1032101002013. The reversal of 1032101002000 is 2001012301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6616909 + ... + 6771091.

Almost surely, 2^{1032101002000} is an apocalyptic number.

1032101002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248191021376).

1032101002000 is an abundant number, since it is smaller than the sum of its proper divisors (1464281040752).

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

1032101002000 is a wasteful number, since it uses less digits than its factorization.

1032101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157553 (or 157537 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1032101002000 its reverse (2001012301), we get a palindrome (1034102014301).

The spelling of 1032101002000 in words is "one trillion, thirty-two billion, one hundred one million, two thousand".