1000101002000 has 80 divisors (see below), whose sum is σ = 2426499037872. Its totient is φ = 398674841600.

The previous prime is 1000101001993. The next prime is 1000101002027. The reversal of 1000101002000 is 2001010001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4999696 + 1000096002304 = 2236^2 + 1000048^2 .

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 (5).

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 15 ways as a sum of consecutive naturals, for example, 267329 + ... + 1439328.

Almost surely, 2^{1000101002000} is an apocalyptic number.

1000101002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000101002000 is an abundant number, since it is smaller than the sum of its proper divisors (1426398035872).

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

1000101002000 is a wasteful number, since it uses less digits than its factorization.

1000101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706973 (or 1706957 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1000101002000 its reverse (2001010001), we get a palindrome (1002102012001).

The spelling of 1000101002000 in words is "one trillion, one hundred one million, two thousand".