101003300000 has 72 divisors (see below), whose sum is σ = 248547146652. Its totient is φ = 40401280000.

The previous prime is 101003299993. The next prime is 101003300009. The reversal of 101003300000 is 3300101.

It can be written as a sum of positive squares in 6 ways, for example, as 18388444816 + 82614855184 = 135604^2 + 287428^2 .

It is a super-2 number, since 2×101003300000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101003300009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405017 + ... + 605016.

Almost surely, 2^101003300000 is an apocalyptic number.

101003300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101003300000 is an abundant number, since it is smaller than the sum of its proper divisors (147543846652).

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

101003300000 is an frugal number, since it uses more digits than its factorization.

101003300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010068 (or 1010040 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 101003300000 its reverse (3300101), we get a palindrome (101006600101).

The spelling of 101003300000 in words is "one hundred one billion, three million, three hundred thousand".