121020201210100 has 108 divisors (see below), whose sum is σ = 290676987568044. Its totient is φ = 43579652695040.

The previous prime is 121020201210053. The next prime is 121020201210107. The reversal of 121020201210100 is 1012102020121.

It can be written as a sum of positive squares in 6 ways, for example, as 2764624496656 + 118255576713444 = 1662716^2 + 10874538^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121020201210107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66386479 + ... + 68185078.

It is an arithmetic number, because the mean of its divisors is an integer number (2691453588593).

Almost surely, 2^{121020201210100} is an apocalyptic number.

121020201210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020201210100 is an abundant number, since it is smaller than the sum of its proper divisors (169656786357944).

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

121020201210100 is a wasteful number, since it uses less digits than its factorization.

121020201210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134571634 (or 134571604 counting only the distinct ones).

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

Adding to 121020201210100 its reverse (1012102020121), we get a palindrome (122032303230221).

The spelling of 121020201210100 in words is "one hundred twenty-one trillion, twenty billion, two hundred one million, two hundred ten thousand, one hundred".