1012050502101 has 48 divisors (see below), whose sum is σ = 1526408722800. Its totient is φ = 645600153600.

The previous prime is 1012050502093. The next prime is 1012050502153.

1012050502101 is a `hidden beast` number, since 1 + 0 + 12 + 0 + 50 + 502 + 101 = 666.

1012050502101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 143072306001 + 868978196100 = 378249^2 + 932190^2 .

It is not a de Polignac number, because 1012050502101 - 2³ = 1012050502093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012050506101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4910341 + ... + 5112293.

It is an arithmetic number, because the mean of its divisors is an integer number (31800181725).

Almost surely, 2^{1012050502101} is an apocalyptic number.

It is an amenable number.

1012050502101 is a deficient number, since it is larger than the sum of its proper divisors (514358220699).

1012050502101 is a wasteful number, since it uses less digits than its factorization.

1012050502101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202246 (or 202243 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

It can be divided in two parts, 1012050 and 502101, that added together give a palindrome (1514151).

The spelling of 1012050502101 in words is "one trillion, twelve billion, fifty million, five hundred two thousand, one hundred one".