2101101000 has 64 divisors (see below), whose sum is σ = 6555444480. Its totient is φ = 560292800.

The previous prime is 2101100999. The next prime is 2101101029. The reversal of 2101101000 is 1011012.

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 a self number, because there is not a number n which added to its sum of digits gives 2101101000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347184 + ... + 353183.

It is an arithmetic number, because the mean of its divisors is an integer number (102428820).

Almost surely, 2^2101101000 is an apocalyptic number.

2101101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101101000 is an abundant number, since it is smaller than the sum of its proper divisors (4454343480).

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

2101101000 is a wasteful number, since it uses less digits than its factorization.

2101101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700391 (or 700377 counting only the distinct ones).

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

The square root of 2101101000 is about 45837.7682702812. The cubic root of 2101101000 is about 1280.8029223419.

Adding to 2101101000 its reverse (1011012), we get a palindrome (2102112012).

The spelling of 2101101000 in words is "two billion, one hundred one million, one hundred one thousand".