101012002000200 has 288 divisors, whose sum is σ = 359216230955400. Its totient is φ = 25349954273280.

The previous prime is 101012002000141. The next prime is 101012002000253. The reversal of 101012002000200 is 2000200210101.

It can be written as a sum of positive squares in 12 ways, for example, as 1665849699684 + 99346152300516 = 1290678^2 + 9967254^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391826544 + ... + 392084256.

Almost surely, 2^{101012002000200} is an apocalyptic number.

101012002000200 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 101012002000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179608115477700).

101012002000200 is an abundant number, since it is smaller than the sum of its proper divisors (258204228955200).

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

101012002000200 is a wasteful number, since it uses less digits than its factorization.

101012002000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270561 (or 270549 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101012002000200 its reverse (2000200210101), we get a palindrome (103012202210301).

The spelling of 101012002000200 in words is "one hundred one trillion, twelve billion, two million, two hundred", and thus it is an aban number.