200101100010102 has 112 divisors (see below), whose sum is σ = 450657276046560. Its totient is φ = 66606198725376.

The previous prime is 200101100010061. The next prime is 200101100010169. The reversal of 200101100010102 is 201010001101002.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4439072788 + ... + 4439117864.

Almost surely, 2^{200101100010102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200101100010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225328638023280).

200101100010102 is an abundant number, since it is smaller than the sum of its proper divisors (250556176036458).

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

200101100010102 is an equidigital number, since it uses as much as digits as its factorization.

200101100010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49329 (or 49314 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200101100010102 its reverse (201010001101002), we get a palindrome (401111101111104).

The spelling of 200101100010102 in words is "two hundred trillion, one hundred one billion, one hundred million, ten thousand, one hundred two".