201102124101300 has 216 divisors, whose sum is σ = 671744349110016. Its totient is φ = 50204217972480.

The previous prime is 201102124101271. The next prime is 201102124101313. The reversal of 201102124101300 is 3101421201102.

201102124101300 is a `hidden beast` number, since 2 + 0 + 1 + 10 + 212 + 410 + 1 + 30 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 102378999 + ... + 104324798.

It is an arithmetic number, because the mean of its divisors is an integer number (3109927542176).

Almost surely, 2^{201102124101300} is an apocalyptic number.

201102124101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102124101300 is an abundant number, since it is smaller than the sum of its proper divisors (470642225008716).

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

201102124101300 is a wasteful number, since it uses less digits than its factorization.

201102124101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206703887 (or 206703877 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201102124101300 its reverse (3101421201102), we get a palindrome (204203545302402).

The spelling of 201102124101300 in words is "two hundred one trillion, one hundred two billion, one hundred twenty-four million, one hundred one thousand, three hundred".