2100011004 has 144 divisors (see below), whose sum is σ = 6594427840. Its totient is φ = 548674560.

The previous prime is 2100010999. The next prime is 2100011009. The reversal of 2100011004 is 4001100012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2100010999) and next prime (2100011009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100011009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354144 + ... + 360024.

Almost surely, 2^2100011004 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 2100011004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297213920).

2100011004 is an abundant number, since it is smaller than the sum of its proper divisors (4494416836).

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

2100011004 is a wasteful number, since it uses less digits than its factorization.

2100011004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6020 (or 6015 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2100011004 is about 45825.8770128843. The cubic root of 2100011004 is about 1280.5814017285.

Adding to 2100011004 its reverse (4001100012), we get a palindrome (6101111016).

The spelling of 2100011004 in words is "two billion, one hundred million, eleven thousand, four".