100200110211000 has 256 divisors, whose sum is σ = 352544871744000. Its totient is φ = 26321222505600.

The previous prime is 100200110210989. The next prime is 100200110211049. The reversal of 100200110211000 is 112011002001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25885890 + ... + 29503889.

It is an arithmetic number, because the mean of its divisors is an integer number (1377128405250).

Almost surely, 2^{100200110211000} is an apocalyptic number.

100200110211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200110211000 is an abundant number, since it is smaller than the sum of its proper divisors (252344761533000).

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

100200110211000 is a wasteful number, since it uses less digits than its factorization.

100200110211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55389876 (or 55389856 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100200110211000 its reverse (112011002001), we get a palindrome (100312121213001).

The spelling of 100200110211000 in words is "one hundred trillion, two hundred billion, one hundred ten million, two hundred eleven thousand".