10100330001000 has 96 divisors (see below), whose sum is σ = 34139115433800. Its totient is φ = 2693421331200.

The previous prime is 10100330000989. The next prime is 10100330001031. The reversal of 10100330001000 is 10003300101.

10100330001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 444059638884 + 9656270362116 = 666378^2 + 3107454^2 .

It is a super-2 number, since 2×10100330001000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561120445 + ... + 561138444.

Almost surely, 2^{10100330001000} is an apocalyptic number.

10100330001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100330001000 is an abundant number, since it is smaller than the sum of its proper divisors (24038785432800).

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

10100330001000 is a wasteful number, since it uses less digits than its factorization.

10100330001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122258916 (or 1122258899 counting only the distinct ones).

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

Adding to 10100330001000 its reverse (10003300101), we get a palindrome (10110333301101).

The spelling of 10100330001000 in words is "ten trillion, one hundred billion, three hundred thirty million, one thousand".