100211012221200 has 120 divisors (see below), whose sum is σ = 321011948244768. Its totient is φ = 26722714122240.

The previous prime is 100211012221189. The next prime is 100211012221213. The reversal of 100211012221200 is 2122210112001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100211012221200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185029999 + ... + 185570801.

Almost surely, 2^{100211012221200} is an apocalyptic number.

100211012221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211012221200 is an abundant number, since it is smaller than the sum of its proper divisors (220800936023568).

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

100211012221200 is a wasteful number, since it uses less digits than its factorization.

100211012221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695241 (or 695230 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100211012221200 its reverse (2122210112001), we get a palindrome (102333222333201).

The spelling of 100211012221200 in words is "one hundred trillion, two hundred eleven billion, twelve million, two hundred twenty-one thousand, two hundred".