1002000101100 has 36 divisors (see below), whose sum is σ = 2899120293384. Its totient is φ = 267200026880.

The previous prime is 1002000101059. The next prime is 1002000101107. The reversal of 1002000101100 is 11010002001.

It is a super-3 number, since 3×1002000101100³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1002000101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1669999869 + ... + 1670000468.

Almost surely, 2^{1002000101100} is an apocalyptic number.

1002000101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002000101100 is an abundant number, since it is smaller than the sum of its proper divisors (1897120192284).

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

1002000101100 is a wasteful number, since it uses less digits than its factorization.

1002000101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340000354 (or 3340000347 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1002000101100 its reverse (11010002001), we get a palindrome (1013010103101).

Subtracting from 1002000101100 its reverse (11010002001), we obtain a palindrome (990990099099).

The spelling of 1002000101100 in words is "one trillion, two billion, one hundred one thousand, one hundred".