2101003164 has 96 divisors (see below), whose sum is σ = 5912739840. Its totient is φ = 641317824.

The previous prime is 2101003127. The next prime is 2101003169. The reversal of 2101003164 is 4613001012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101003169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172417 + ... + 184199.

It is an arithmetic number, because the mean of its divisors is an integer number (61591040).

Almost surely, 2^2101003164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101003164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956369920).

2101003164 is an abundant number, since it is smaller than the sum of its proper divisors (3811736676).

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

2101003164 is a wasteful number, since it uses less digits than its factorization.

2101003164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2101003164 is about 45836.7010593040. The cubic root of 2101003164 is about 1280.7830421965.

Adding to 2101003164 its reverse (4613001012), we get a palindrome (6714004176).

The spelling of 2101003164 in words is "two billion, one hundred one million, three thousand, one hundred sixty-four".