101002000102000 has 80 divisors (see below), whose sum is σ = 244860495639552. Its totient is φ = 40295314617600.

The previous prime is 101002000101923. The next prime is 101002000102039. The reversal of 101002000102000 is 201000200101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65162199 + ... + 66694198.

Almost surely, 2^{101002000102000} is an apocalyptic number.

101002000102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002000102000 is an abundant number, since it is smaller than the sum of its proper divisors (143858495537552).

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

101002000102000 is a wasteful number, since it uses less digits than its factorization.

101002000102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131856803 (or 131856787 counting only the distinct ones).

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

Adding to 101002000102000 its reverse (201000200101), we get a palindrome (101203000302101).

The spelling of 101002000102000 in words is "one hundred one trillion, two billion, one hundred two thousand".