101020002000 has 160 divisors (see below), whose sum is σ = 339849319680. Its totient is φ = 25767385600.

The previous prime is 101020001993. The next prime is 101020002001. The reversal of 101020002000 is 200020101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 101020002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020002001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 228015 + ... + 504014.

It is an arithmetic number, because the mean of its divisors is an integer number (2124058248).

Almost surely, 2^101020002000 is an apocalyptic number.

101020002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020002000 is an abundant number, since it is smaller than the sum of its proper divisors (238829317680).

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

101020002000 is a wasteful number, since it uses less digits than its factorization.

101020002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732078 (or 732062 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 101020002000 its reverse (200020101), we get a palindrome (101220022101).

The spelling of 101020002000 in words is "one hundred one billion, twenty million, two thousand".