2100101000 has 64 divisors (see below), whose sum is σ = 5018906880. Its totient is φ = 822148800.

The previous prime is 2100100993. The next prime is 2100101009. The reversal of 2100101000 is 1010012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (2100101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24659 + ... + 69341.

It is an arithmetic number, because the mean of its divisors is an integer number (78420420).

Almost surely, 2^2100101000 is an apocalyptic number.

2100101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509453440).

2100101000 is an abundant number, since it is smaller than the sum of its proper divisors (2918805880).

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

2100101000 is a wasteful number, since it uses less digits than its factorization.

2100101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44751 (or 44737 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 2100101000 is about 45826.8589366542. The cubic root of 2100101000 is about 1280.5996945783.

Adding to 2100101000 its reverse (1010012), we get a palindrome (2101111012).

The spelling of 2100101000 in words is "two billion, one hundred million, one hundred one thousand".