1000102210200 has 384 divisors, whose sum is σ = 3505299009600. Its totient is φ = 262020096000.

The previous prime is 1000102210199. The next prime is 1000102210201. The reversal of 1000102210200 is 20122010001.

It is an interprime number because it is at equal distance from previous prime (1000102210199) and next prime (1000102210201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102210201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 533956464 + ... + 533958336.

Almost surely, 2^{1000102210200} is an apocalyptic number.

1000102210200 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 1000102210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752649504800).

1000102210200 is an abundant number, since it is smaller than the sum of its proper divisors (2505196799400).

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

1000102210200 is a wasteful number, since it uses less digits than its factorization.

1000102210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3565 counting only the distinct ones).

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

Adding to 1000102210200 its reverse (20122010001), we get a palindrome (1020224220201).

The spelling of 1000102210200 in words is "one trillion, one hundred two million, two hundred ten thousand, two hundred".