100101222100200 has 96 divisors (see below), whose sum is σ = 310320370546560. Its totient is φ = 26693093030400.

The previous prime is 100101222100183. The next prime is 100101222100267. The reversal of 100101222100200 is 2001222101001.

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 23 ways as a sum of consecutive naturals, for example, 26929132 + ... + 30420068.

It is an arithmetic number, because the mean of its divisors is an integer number (3232503859860).

Almost surely, 2^{100101222100200} is an apocalyptic number.

100101222100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101222100200 is an abundant number, since it is smaller than the sum of its proper divisors (210219148446360).

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

100101222100200 is a wasteful number, since it uses less digits than its factorization.

100101222100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538747 (or 3538738 counting only the distinct ones).

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

Adding to 100101222100200 its reverse (2001222101001), we get a palindrome (102102444201201).

The spelling of 100101222100200 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, one hundred thousand, two hundred".