100211210200200 has 384 divisors, whose sum is σ = 358857174528000. Its totient is φ = 22862932070400.

The previous prime is 100211210200177. The next prime is 100211210200229. The reversal of 100211210200200 is 2002012112001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2234889381 + ... + 2234934219.

It is an arithmetic number, because the mean of its divisors is an integer number (934523892000).

Almost surely, 2^{100211210200200} is an apocalyptic number.

100211210200200 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 100211210200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179428587264000).

100211210200200 is an abundant number, since it is smaller than the sum of its proper divisors (258645964327800).

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

100211210200200 is a wasteful number, since it uses less digits than its factorization.

100211210200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64805 (or 64796 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100211210200200 its reverse (2002012112001), we get a palindrome (102213222312201).

The spelling of 100211210200200 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, two hundred thousand, two hundred".