1005010100050 has 48 divisors (see below), whose sum is σ = 2059447633344. Its totient is φ = 361839800000.

The previous prime is 1005010100047. The next prime is 1005010100051. The reversal of 1005010100050 is 500010105001.

It is a super-2 number, since 2×1005010100050² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005010100050.

It is not an unprimeable number, because it can be changed into a prime (1005010100051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8990446 + ... + 9101545.

It is an arithmetic number, because the mean of its divisors is an integer number (42905159028).

Almost surely, 2^{1005010100050} is an apocalyptic number.

1005010100050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005010100050 is an abundant number, since it is smaller than the sum of its proper divisors (1054437533294).

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

1005010100050 is a wasteful number, since it uses less digits than its factorization.

1005010100050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18092115 (or 18092110 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 1005010100050 its reverse (500010105001), we get a palindrome (1505020205051).

The spelling of 1005010100050 in words is "one trillion, five billion, ten million, one hundred thousand, fifty".