100010210102200 has 96 divisors (see below), whose sum is σ = 234996173032320. Its totient is φ = 39580830000000.

The previous prime is 100010210102183. The next prime is 100010210102221. The reversal of 100010210102200 is 2201012010001.

It is a super-3 number, since 3×100010210102200³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983395 + ... + 14177005.

It is an arithmetic number, because the mean of its divisors is an integer number (2447876802420).

Almost surely, 2^{100010210102200} is an apocalyptic number.

100010210102200 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 100010210102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117498086516160).

100010210102200 is an abundant number, since it is smaller than the sum of its proper divisors (134985962930120).

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

100010210102200 is a wasteful number, since it uses less digits than its factorization.

100010210102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13194029 (or 13194020 counting only the distinct ones).

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

Adding to 100010210102200 its reverse (2201012010001), we get a palindrome (102211222112201).

The spelling of 100010210102200 in words is "one hundred trillion, ten billion, two hundred ten million, one hundred two thousand, two hundred".