2102101000 has 64 divisors (see below), whose sum is σ = 5208306480. Its totient is φ = 791372800.

The previous prime is 2102100997. The next prime is 2102101003. The reversal of 2102101000 is 1012012.

It is an interprime number because it is at equal distance from previous prime (2102100997) and next prime (2102101003).

It can be written as a sum of positive squares in 8 ways, for example, as 382671844 + 1719429156 = 19562^2 + 41466^2 .

It is a super-2 number, since 2×2102101000² = 8837657228402000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44827 + ... + 78826.

Almost surely, 2^2102101000 is an apocalyptic number.

2102101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102101000 is an abundant number, since it is smaller than the sum of its proper divisors (3106205480).

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

2102101000 is a wasteful number, since it uses less digits than its factorization.

2102101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123691 (or 123677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2102101000 is about 45848.6750081177. The cubic root of 2102101000 is about 1281.0060856327.

Adding to 2102101000 its reverse (1012012), we get a palindrome (2103113012).

The spelling of 2102101000 in words is "two billion, one hundred two million, one hundred one thousand".