1010211202120 has 64 divisors (see below), whose sum is σ = 2428759436400. Its totient is φ = 376825651200.

The previous prime is 1010211202081. The next prime is 1010211202127. The reversal of 1010211202120 is 212021120101.

It can be written as a sum of positive squares in 8 ways, for example, as 935510659524 + 74700542596 = 967218^2 + 273314^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1010211202120.

It is not an unprimeable number, because it can be changed into a prime (1010211202127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6740581 + ... + 6888820.

Almost surely, 2^{1010211202120} is an apocalyptic number.

1010211202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010211202120 is an abundant number, since it is smaller than the sum of its proper divisors (1418548234280).

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

1010211202120 is a wasteful number, since it uses less digits than its factorization.

1010211202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13629538 (or 13629534 counting only the distinct ones).

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

Adding to 1010211202120 its reverse (212021120101), we get a palindrome (1222232322221).

The spelling of 1010211202120 in words is "one trillion, ten billion, two hundred eleven million, two hundred two thousand, one hundred twenty".