2103012000 has 144 divisors (see below), whose sum is σ = 7463717352. Its totient is φ = 560793600.

The previous prime is 2103011993. The next prime is 2103012029. The reversal of 2103012000 is 2103012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1115292816 + 987719184 = 33396^2 + 31428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6792 + ... + 65208.

Almost surely, 2^2103012000 is an apocalyptic number.

2103012000 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 2103012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731858676).

2103012000 is an abundant number, since it is smaller than the sum of its proper divisors (5360705352).

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

2103012000 is a wasteful number, since it uses less digits than its factorization.

2103012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58448 (or 58427 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2103012000 is about 45858.6087883180. The cubic root of 2103012000 is about 1281.1911113128.

Adding to 2103012000 its reverse (2103012), we get a palindrome (2105115012).

2103012000 divided by its reverse (2103012) gives a cube (1000 = 10³).

The spelling of 2103012000 in words is "two billion, one hundred three million, twelve thousand".