10120101000200 has 24 divisors (see below), whose sum is σ = 23529234825930. Its totient is φ = 4048040400000.

The previous prime is 10120101000197. The next prime is 10120101000211. The reversal of 10120101000200 is 200010102101.

It can be written as a sum of positive squares in 3 ways, for example, as 8991589965604 + 1128511034596 = 2998598^2 + 1062314^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25300252301 + ... + 25300252700.

Almost surely, 2^{10120101000200} is an apocalyptic number.

10120101000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120101000200 is an abundant number, since it is smaller than the sum of its proper divisors (13409133825730).

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

10120101000200 is a wasteful number, since it uses less digits than its factorization.

10120101000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50600505017 (or 50600505008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10120101000200 its reverse (200010102101), we get a palindrome (10320111102301).

The spelling of 10120101000200 in words is "ten trillion, one hundred twenty billion, one hundred one million, two hundred", and thus it is an aban number.