101000001000 has 64 divisors (see below), whose sum is σ = 315120012480.
Its totient is φ = 26933332800.
The previous prime is 101000000971. The next prime is 101000001031. The reversal of 101000001000 is 100000101.
Adding to 101000001000 its reverse (100000101), we get a palindrome (101100001101).
It is a Harshad number since it is a multiple of its sum of digits (3).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16830334 + ... + 16836333.
It is an arithmetic number, because the mean of its divisors is an integer number (4923750195).
Almost surely, 2101000001000 is an apocalyptic number.
101000001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
101000001000 is an abundant number, since it is smaller than the sum of its proper divisors (214120011480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101000001000 is a wasteful number, since it uses less digits than its factorization.
101000001000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33666691 (or 33666677 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 3.
The spelling of 101000001000 in words is "one hundred one billion, one thousand".