2100311010 has 144 divisors (see below), whose sum is σ = 6628879296. Its totient is φ = 459176256.

The previous prime is 2100311009. The next prime is 2100311011. The reversal of 2100311010 is 101130012.

It is an interprime number because it is at equal distance from previous prime (2100311009) and next prime (2100311011).

It is a super-2 number, since 2×2100311010² = 8822612677454440200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2100310983 and 2100311001.

It is not an unprimeable number, because it can be changed into a prime (2100311011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91077 + ... + 111783.

It is an arithmetic number, because the mean of its divisors is an integer number (46033884).

Almost surely, 2^2100311010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314439648).

2100311010 is an abundant number, since it is smaller than the sum of its proper divisors (4528568286).

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

2100311010 is a wasteful number, since it uses less digits than its factorization.

2100311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20757 (or 20747 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2100311010 is about 45829.1502212293. The cubic root of 2100311010 is about 1280.6423797917.

Adding to 2100311010 its reverse (101130012), we get a palindrome (2201441022).

The spelling of 2100311010 in words is "two billion, one hundred million, three hundred eleven thousand, ten".