100101201212200 has 96 divisors (see below), whose sum is σ = 239227849163160. Its totient is φ = 38925314380800.

The previous prime is 100101201212183. The next prime is 100101201212209. The reversal of 100101201212200 is 2212102101001.

It can be written as a sum of positive squares in 12 ways, for example, as 63300259173316 + 36800942038884 = 7956146^2 + 6066378^2 .

It is not an unprimeable number, because it can be changed into a prime (100101201212209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3012394 + ... + 14466406.

Almost surely, 2^{100101201212200} is an apocalyptic number.

100101201212200 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 100101201212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119613924581580).

100101201212200 is an abundant number, since it is smaller than the sum of its proper divisors (139126647950960).

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

100101201212200 is a wasteful number, since it uses less digits than its factorization.

100101201212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11455247 (or 11455238 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100101201212200 its reverse (2212102101001), we get a palindrome (102313303313201).

The spelling of 100101201212200 in words is "one hundred trillion, one hundred one billion, two hundred one million, two hundred twelve thousand, two hundred".