1012101010200 has 960 divisors, whose sum is σ = 4115378741760. Its totient is φ = 225762785280.

The previous prime is 1012101010159. The next prime is 1012101010229. The reversal of 1012101010200 is 20101012101.

It is a happy number.

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

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

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 239 ways as a sum of consecutive naturals, for example, 852654007 + ... + 852655193.

It is an arithmetic number, because the mean of its divisors is an integer number (4286852856).

Almost surely, 2^{1012101010200} is an apocalyptic number.

1012101010200 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 1012101010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057689370880).

1012101010200 is an abundant number, since it is smaller than the sum of its proper divisors (3103277731560).

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

1012101010200 is a wasteful number, since it uses less digits than its factorization.

1012101010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1380 counting only the distinct ones).

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

Adding to 1012101010200 its reverse (20101012101), we get a palindrome (1032202022301).

The spelling of 1012101010200 in words is "one trillion, twelve billion, one hundred one million, ten thousand, two hundred".