101210012000200 has 48 divisors (see below), whose sum is σ = 243427528876500. Its totient is φ = 39088004632320.

The previous prime is 101210012000189. The next prime is 101210012000239. The reversal of 101210012000200 is 2000210012101.

It can be written as a sum of positive squares in 6 ways, for example, as 34654861638244 + 66555150361956 = 5886838^2 + 8158134^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8724995235 + ... + 8725006834.

Almost surely, 2^{101210012000200} is an apocalyptic number.

101210012000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210012000200 is an abundant number, since it is smaller than the sum of its proper divisors (142217516876300).

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

101210012000200 is a wasteful number, since it uses less digits than its factorization.

101210012000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17450002114 (or 17450002105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101210012000200 its reverse (2000210012101), we get a palindrome (103210222012301).

The spelling of 101210012000200 in words is "one hundred one trillion, two hundred ten billion, twelve million, two hundred", and thus it is an aban number.