201212311110100 has 144 divisors (see below), whose sum is σ = 443001312726336. Its totient is φ = 79318189440000.

The previous prime is 201212311110077. The next prime is 201212311110101. The reversal of 201212311110100 is 1011113212102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212311110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13483361239 + ... + 13483376161.

It is an arithmetic number, because the mean of its divisors is an integer number (3076398005044).

Almost surely, 2^{201212311110100} is an apocalyptic number.

201212311110100 is a gapful number since it is divisible by the number (20) 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 201212311110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221500656363168).

201212311110100 is an abundant number, since it is smaller than the sum of its proper divisors (241789001616236).

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

201212311110100 is a wasteful number, since it uses less digits than its factorization.

201212311110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21146 (or 21139 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 201212311110100 its reverse (1011113212102), we get a palindrome (202223424322202).

The spelling of 201212311110100 in words is "two hundred one trillion, two hundred twelve billion, three hundred eleven million, one hundred ten thousand, one hundred".