10102100200200 has 144 divisors (see below), whose sum is σ = 33929696747700. Its totient is φ = 2693617305600.

The previous prime is 10102100200189. The next prime is 10102100200211. The reversal of 10102100200200 is 200200120101.

It is an interprime number because it is at equal distance from previous prime (10102100200189) and next prime (10102100200211).

It can be written as a sum of positive squares in 6 ways, for example, as 254566666116 + 9847533534084 = 504546^2 + 3138078^2 .

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 35 ways as a sum of consecutive naturals, for example, 17589580 + ... + 18154820.

Almost surely, 2^{10102100200200} is an apocalyptic number.

10102100200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102100200200 is an abundant number, since it is smaller than the sum of its proper divisors (23827596547500).

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

10102100200200 is a wasteful number, since it uses less digits than its factorization.

10102100200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575192 (or 575180 counting only the distinct ones).

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

Adding to 10102100200200 its reverse (200200120101), we get a palindrome (10302300320301).

The spelling of 10102100200200 in words is "ten trillion, one hundred two billion, one hundred million, two hundred thousand, two hundred".