1005010100000 has 72 divisors (see below), whose sum is σ = 2473108999956. Its totient is φ = 402004000000.

The previous prime is 1005010099993. The next prime is 1005010100011. The reversal of 1005010100000 is 10105001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 43268992144 + 961741107856 = 208012^2 + 980684^2 .

It is a super-2 number, since 2×1005010100000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4925051 + ... + 5125050.

Almost surely, 2^{1005010100000} is an apocalyptic number.

1005010100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005010100000 is an abundant number, since it is smaller than the sum of its proper divisors (1468098899956).

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

1005010100000 is an frugal number, since it uses more digits than its factorization.

1005010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10050136 (or 10050108 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

Adding to 1005010100000 its reverse (10105001), we get a palindrome (1005020205001).

The spelling of 1005010100000 in words is "one trillion, five billion, ten million, one hundred thousand".