102011001010200 has 480 divisors, whose sum is σ = 359074767744000. Its totient is φ = 26836835500800.

The previous prime is 102011001010157. The next prime is 102011001010241. The reversal of 102011001010200 is 2010100110201.

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 (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1611236545 + ... + 1611299855.

It is an arithmetic number, because the mean of its divisors is an integer number (748072432800).

Almost surely, 2^{102011001010200} is an apocalyptic number.

102011001010200 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 102011001010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179537383872000).

102011001010200 is an abundant number, since it is smaller than the sum of its proper divisors (257063766733800).

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

102011001010200 is a wasteful number, since it uses less digits than its factorization.

102011001010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64677 (or 64659 counting only the distinct ones).

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

Adding to 102011001010200 its reverse (2010100110201), we get a palindrome (104021101120401).

The spelling of 102011001010200 in words is "one hundred two trillion, eleven billion, one million, ten thousand, two hundred".