10102210000200 has 72 divisors (see below), whose sum is σ = 33926588590050. Its totient is φ = 2693922666240.

The previous prime is 10102210000189. The next prime is 10102210000237. The reversal of 10102210000200 is 200001220101.

It can be written as a sum of positive squares in 3 ways, for example, as 4995251820036 + 5106958180164 = 2235006^2 + 2259858^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2806167645 + ... + 2806171244.

Almost surely, 2^{10102210000200} is an apocalyptic number.

10102210000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102210000200 is an abundant number, since it is smaller than the sum of its proper divisors (23824378589850).

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

10102210000200 is a wasteful number, since it uses less digits than its factorization.

10102210000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612338911 (or 5612338899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102210000200 its reverse (200001220101), we get a palindrome (10302211220301).

The spelling of 10102210000200 in words is "ten trillion, one hundred two billion, two hundred ten million, two hundred", and thus it is an aban number.