101020002000200 has 96 divisors (see below), whose sum is σ = 236241094055400. Its totient is φ = 40172396175360.

The previous prime is 101020002000193. The next prime is 101020002000259. The reversal of 101020002000200 is 2000200020101.

It can be written as a sum of positive squares in 12 ways, for example, as 85111215629476 + 15908786370724 = 9225574^2 + 3988582^2 .

It is a super-3 number, since 3×101020002000200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

101020002000200 is a modest number, since divided by 2000200 gives 1010200 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813349304 + ... + 813473496.

Almost surely, 2^{101020002000200} is an apocalyptic number.

101020002000200 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 101020002000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118120547027700).

101020002000200 is an abundant number, since it is smaller than the sum of its proper divisors (135221092055200).

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

101020002000200 is a wasteful number, since it uses less digits than its factorization.

101020002000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147891 (or 147882 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 101020002000200 its reverse (2000200020101), we get a palindrome (103020202020301).

The spelling of 101020002000200 in words is "one hundred one trillion, twenty billion, two million, two hundred", and thus it is an aban number.